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2917912668 = 22311531133691
BaseRepresentation
bin1010110111101011…
…1101000001011100
321112100120022200120
42231322331001130
521433441201133
61201312554540
7132210564006
oct25572750134
97470508616
102917912668
1112680a3a80
12695252a50
133766a3058
141d9759376
1512127bab3
hexadebd05c

2917912668 has 96 divisors (see below), whose sum is σ = 7636591872. Its totient is φ = 859622400.

The previous prime is 2917912663. The next prime is 2917912717. The reversal of 2917912668 is 8662197192.

It is a self number, because there is not a number n which added to its sum of digits gives 2917912668.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2917912661) 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, 788703 + ... + 792393.

It is an arithmetic number, because the mean of its divisors is an integer number (79547832).

Almost surely, 22917912668 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 2917912668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818295936).

2917912668 is an abundant number, since it is smaller than the sum of its proper divisors (4718679204).

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

2917912668 is a wasteful number, since it uses less digits than its factorization.

2917912668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3875 (or 3873 counting only the distinct ones).

The product of its digits is 653184, while the sum is 51.

The square root of 2917912668 is about 54017.7069857653. The cubic root of 2917912668 is about 1428.9732417927.

The spelling of 2917912668 in words is "two billion, nine hundred seventeen million, nine hundred twelve thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 113 132 159 212 226 318 339 452 583 636 678 1166 1243 1356 1749 2332 2486 3498 3691 3729 4972 5989 6996 7382 7458 11073 11978 14764 14916 17967 22146 23956 35934 40601 44292 65879 71868 81202 121803 131758 162404 195623 197637 243606 263516 391246 395274 417083 487212 586869 782492 790548 834166 1173738 1251249 1668332 2151853 2347476 2502498 4303706 4587913 5004996 6455559 8607412 9175826 12911118 13763739 18351652 22105399 25822236 27527478 44210798 55054956 66316197 88421596 132632394 243159389 265264788 486318778 729478167 972637556 1458956334 2917912668