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2994948480 = 27351791757
BaseRepresentation
bin1011001010000011…
…0100100110000000
321201201112010221210
42302200310212000
522113201322410
61213104050120
7134134433136
oct26240644600
97651463853
102994948480
1112a7630137
126b7003940
13389636184
14205a8d756
15127de7220
hexb2834980

2994948480 has 128 divisors (see below), whose sum is σ = 10108061280. Its totient is φ = 751665152.

The previous prime is 2994948469. The next prime is 2994948487. The reversal of 2994948480 is 848494992.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2994948480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2994948487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13239 + ... + 78518.

Almost surely, 22994948480 is an apocalyptic number.

2994948480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2994948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5054030640).

2994948480 is an abundant number, since it is smaller than the sum of its proper divisors (7113112800).

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

2994948480 is a wasteful number, since it uses less digits than its factorization.

2994948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91796 (or 91784 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The square root of 2994948480 is about 54726.1224645050. The cubic root of 2994948480 is about 1441.4396096836.

The spelling of 2994948480 in words is "two billion, nine hundred ninety-four million, nine hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 4080 5440 6528 8160 10880 16320 32640 91757 183514 275271 367028 458785 550542 734056 917570 1101084 1376355 1468112 1559869 1835140 2202168 2752710 2936224 3119738 3670280 4404336 4679607 5505420 5872448 6239476 7340560 7799345 8808672 9359214 11010840 11744896 12478952 14681120 15598690 17617344 18718428 22021680 23398035 24957904 29362240 31197380 35234688 37436856 44043360 46796070 49915808 58724480 62394760 74873712 88086720 93592140 99831616 124789520 149747424 176173440 187184280 199663232 249579040 299494848 374368560 499158080 598989696 748737120 998316160 1497474240 2994948480