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2646120048 = 24311132391613
BaseRepresentation
bin1001110110111000…
…1001011001110000
320211102010211022020
42131232021121300
520404401320143
61114323311440
7122400435465
oct23556113160
96742124266
102646120048
111138736180
1261a21b580
133322a0310
141b160966c
15107490883
hex9db89670

2646120048 has 160 divisors (see below), whose sum is σ = 8069483520. Its totient is φ = 736619520.

The previous prime is 2646120047. The next prime is 2646120073. The reversal of 2646120048 is 8400216462.

2646120048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2646120047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1639690 + ... + 1641302.

It is an arithmetic number, because the mean of its divisors is an integer number (50434272).

Almost surely, 22646120048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2646120048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4034741760).

2646120048 is an abundant number, since it is smaller than the sum of its proper divisors (5423363472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2646120048 is a wasteful number, since it uses less digits than its factorization.

2646120048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 2646120048 is about 51440.4514754682. The cubic root of 2646120048 is about 1383.1518046729.

The spelling of 2646120048 in words is "two billion, six hundred forty-six million, one hundred twenty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 239 264 286 312 429 478 528 572 624 717 858 956 1144 1434 1613 1716 1912 2288 2629 2868 3107 3226 3432 3824 4839 5258 5736 6214 6452 6864 7887 9321 9678 10516 11472 12428 12904 15774 17743 18642 19356 20969 21032 24856 25808 31548 34177 35486 37284 38712 41938 42064 49712 53229 62907 63096 68354 70972 74568 77424 83876 102531 106458 125814 126192 136708 141944 149136 167752 205062 212916 230659 251628 273416 283888 335504 385507 410124 425832 461318 503256 546832 691977 771014 820248 851664 922636 1006512 1156521 1383954 1542028 1640496 1845272 2313042 2767908 3084056 3690544 4240577 4626084 5011591 5535816 6168112 8481154 9252168 10023182 11071632 12721731 15034773 16962308 18504336 20046364 25443462 30069546 33924616 40092728 50886924 55127501 60139092 67849232 80185456 101773848 110255002 120278184 165382503 203547696 220510004 240556368 330765006 441020008 661530012 882040016 1323060024 2646120048