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2913693104 = 247172952769
BaseRepresentation
bin1010110110101011…
…0110110110110000
321112001121221112102
42231222312312300
521431401134404
61201042315532
7132126661040
oct25552666660
97461557472
102913693104
111265781833
12693958ba8
1337585657a
141d8d7b720
15120be671e
hexadab6db0

2913693104 has 80 divisors (see below), whose sum is σ = 7066958400. Its totient is φ = 1134723072.

The previous prime is 2913693091. The next prime is 2913693109. The reversal of 2913693104 is 4013963192.

It is not an unprimeable number, because it can be changed into a prime (2913693109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28832 + ... + 81600.

It is an arithmetic number, because the mean of its divisors is an integer number (88336980).

Almost surely, 22913693104 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 2913693104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533479200).

2913693104 is an abundant number, since it is smaller than the sum of its proper divisors (4153265296).

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

2913693104 is a wasteful number, since it uses less digits than its factorization.

2913693104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52830 (or 52824 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 38.

The square root of 2913693104 is about 53978.6356255880. The cubic root of 2913693104 is about 1428.2841015817.

The spelling of 2913693104 in words is "two billion, nine hundred thirteen million, six hundred ninety-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 29 34 56 58 68 112 116 119 136 203 232 238 272 406 464 476 493 812 952 986 1624 1904 1972 3248 3451 3944 6902 7888 13804 27608 52769 55216 105538 211076 369383 422152 738766 844304 897073 1477532 1530301 1794146 2955064 3060602 3588292 5910128 6121204 6279511 7176584 10712107 12242408 12559022 14353168 21424214 24484816 25118044 26015117 42848428 50236088 52030234 85696856 100472176 104060468 171393712 182105819 208120936 364211638 416241872 728423276 1456846552 2913693104