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31923494407744 = 26232307072
BaseRepresentation
bin1110100001000110001001…
…00010110100111001000000
311012000212010012202211201021
413100203010202310321000
513141013304032021434
6151521241215515224
76503252644161322
oct720430442647100
9135025105684637
1031923494407744
11a198750393045
1236b6ba1828b14
1314a74ac7ca8b4
147c5169205612
153a560b48ccb4
hex1d08c48b4e40

31923494407744 has 63 divisors (see below), whose sum is σ = 66224360568667. Its totient is φ = 15267260987264.

The previous prime is 31923494407691. The next prime is 31923494407747. The reversal of 31923494407744 is 44770449432913.

The square root of 31923494407744 is 5650088.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31923494407747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1039600839 + ... + 1039631545.

Almost surely, 231923494407744 is an apocalyptic number.

31923494407744 is the 5650088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31923494407744

31923494407744 is an abundant number, since it is smaller than the sum of its proper divisors (34300866160923).

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

31923494407744 is an frugal number, since it uses more digits than its factorization.

31923494407744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61472 (or 30732 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 61.

The spelling of 31923494407744 in words is "thirty-one trillion, nine hundred twenty-three billion, four hundred ninety-four million, four hundred seven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 736 1058 1472 2116 4232 8464 16928 30707 33856 61414 122828 245656 491312 706261 982624 1412522 1965248 2825044 5650088 11300176 16244003 22600352 32488006 45200704 64976012 129952024 259904048 519808096 942919849 1039616192 1885839698 3771679396 7543358792 15086717584 21687156527 30173435168 43374313054 60346870336 86748626108 173497252216 346994504432 498804600121 693989008864 997609200242 1387978017728 1995218400484 3990436800968 7980873601936 15961747203872 31923494407744