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2992332724332 = 2237431361608701
BaseRepresentation
bin101011100010110100111…
…011011101100001101100
3101121001201210221022112020
4223202310323131201230
5343011244134134312
610210354135110140
7426121536326520
oct53426473354154
911531653838466
102992332724332
11a5404a8a4016
12403b26212350
131892392048b3
14a4b888bdd80
1552c8656d78c
hex2b8b4edd86c

2992332724332 has 96 divisors (see below), whose sum is σ = 8171137734144. Its totient is φ = 834454656000.

The previous prime is 2992332724327. The next prime is 2992332724427. The reversal of 2992332724332 is 2334272332992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4611582 + ... + 5220282.

It is an arithmetic number, because the mean of its divisors is an integer number (85116018064).

Almost surely, 22992332724332 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 2992332724332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4085568867072).

2992332724332 is an abundant number, since it is smaller than the sum of its proper divisors (5178805009812).

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

2992332724332 is a wasteful number, since it uses less digits than its factorization.

2992332724332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610119 (or 610117 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 51.

The spelling of 2992332724332 in words is "two trillion, nine hundred ninety-two billion, three hundred thirty-two million, seven hundred twenty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1204 1361 1806 2722 3612 4083 5444 8166 9527 16332 19054 28581 38108 57162 58523 114324 117046 175569 234092 351138 409661 608701 702276 819322 1217402 1228983 1638644 1826103 2434804 2457966 3652206 4260907 4915932 7304412 8521814 12782721 17043628 25565442 26174143 51130884 52348286 78522429 104696572 157044858 183219001 314089716 366438002 549657003 732876004 828442061 1099314006 1656884122 2198628012 2485326183 3313768244 4970652366 5799094427 9941304732 11598188854 17397283281 23196377708 34794566562 35623008623 69589133124 71246017246 106869025869 142492034492 213738051738 249361060361 427476103476 498722120722 748083181083 997444241444 1496166362166 2992332724332