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2907121968 = 243331375867
BaseRepresentation
bin1010110101000111…
…0010100100110000
321111121021002122000
42231101302210300
521423210400333
61200245414000
7132020062152
oct25521624460
97447232560
102907121968
111261aa3843
1269170a300
1337439561a
141d814aad2
15120349713
hexad472930

2907121968 has 160 divisors (see below), whose sum is σ = 8848005120. Its totient is φ = 912280320.

The previous prime is 2907121967. The next prime is 2907121981. The reversal of 2907121968 is 8691217092.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2907121967) 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, 492571 + ... + 498437.

It is an arithmetic number, because the mean of its divisors is an integer number (55300032).

Almost surely, 22907121968 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 2907121968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424002560).

2907121968 is an abundant number, since it is smaller than the sum of its proper divisors (5940883152).

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

2907121968 is a wasteful number, since it uses less digits than its factorization.

2907121968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5952 (or 5940 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 2907121968 is about 53917.7333351468. The cubic root of 2907121968 is about 1427.2095759838.

The spelling of 2907121968 in words is "two billion, nine hundred seven million, one hundred twenty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 37 48 54 62 72 74 93 108 111 124 144 148 186 216 222 248 279 296 333 372 432 444 496 558 592 666 744 837 888 999 1116 1147 1332 1488 1674 1776 1998 2232 2294 2664 3348 3441 3996 4464 4588 5328 5867 6696 6882 7992 9176 10323 11734 13392 13764 15984 17601 18352 20646 23468 27528 30969 35202 41292 46936 52803 55056 61938 70404 82584 93872 105606 123876 140808 158409 165168 181877 211212 217079 247752 281616 316818 363754 422424 434158 495504 545631 633636 651237 727508 844848 868316 1091262 1267272 1302474 1455016 1636893 1736632 1953711 2182524 2534544 2604948 2910032 3273786 3473264 3907422 4365048 4910679 5209896 5861133 6547572 6729449 7814844 8730096 9821358 10419792 11722266 13095144 13458898 15629688 19642716 20188347 23444532 26190288 26917796 31259376 39285432 40376694 46889064 53835592 60565041 78570864 80753388 93778128 107671184 121130082 161506776 181695123 242260164 323013552 363390246 484520328 726780492 969040656 1453560984 2907121968