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4895434896 = 24311731071187
BaseRepresentation
bin1001000111100101…
…00110100010010000
3110122011121212012120
410203302212202100
540011212404041
62125434054240
7232212336642
oct44362464220
913564555176
104895434896
112092388770
12b4757a380
136002aa251
14346242892
151d9b9e366
hex123ca6890

4895434896 has 160 divisors (see below), whose sum is σ = 14127810048. Its totient is φ = 1448248320.

The previous prime is 4895434861. The next prime is 4895434913. The reversal of 4895434896 is 6984345984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4123615 + ... + 4124801.

Almost surely, 24895434896 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 4895434896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7063905024).

4895434896 is an abundant number, since it is smaller than the sum of its proper divisors (9232375152).

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

4895434896 is a wasteful number, since it uses less digits than its factorization.

4895434896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1383 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 60.

The square root of 4895434896 is about 69967.3845159300. The cubic root of 4895434896 is about 1697.9716172120.

The spelling of 4895434896 in words is "four billion, eight hundred ninety-five million, four hundred thirty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 73 88 107 132 146 176 214 219 264 292 321 428 438 528 584 642 803 856 876 1168 1177 1187 1284 1606 1712 1752 2354 2374 2409 2568 3212 3504 3531 3561 4708 4748 4818 5136 6424 7062 7122 7811 9416 9496 9636 12848 13057 14124 14244 15622 18832 18992 19272 23433 26114 28248 28488 31244 38544 39171 46866 52228 56496 56976 62488 78342 85921 86651 93732 104456 124976 127009 156684 171842 173302 187464 208912 254018 257763 259953 313368 343684 346604 374928 381027 508036 515526 519906 626736 687368 693208 762054 953161 1016072 1031052 1039812 1374736 1386416 1397099 1524108 1906322 2032144 2062104 2079624 2794198 2859483 3048216 3812644 4124208 4159248 4191297 5588396 5718966 6096432 7625288 8382594 9271657 11176792 11437932 15250576 16765188 18543314 22353584 22875864 27814971 33530376 37086628 45751728 55629942 67060752 74173256 101988227 111259884 148346512 203976454 222519768 305964681 407952908 445039536 611929362 815905816 1223858724 1631811632 2447717448 4895434896