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32831990416 = 249724672
BaseRepresentation
bin11110100100111100…
…000110101010010000
310010202010011220220001
4132210330012222100
51014214442143131
623025515255344
72241415212451
oct364474065220
9103663156801
1032831990416
1112a18891385
12644344a554
133133013284
1418365d9128
15cc2582261
hex7a4f06a90

32831990416 has 45 divisors (see below), whose sum is σ = 64412463369. Its totient is φ = 16211968512.

The previous prime is 32831990383. The next prime is 32831990431. The reversal of 32831990416 is 61409913823.

It is a happy number.

The square root of 32831990416 is 181196.

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

It can be written as a sum of positive squares in only one way, i.e., 14742816400 + 18089174016 = 121420^2 + 134496^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 70303815 + ... + 70304281.

Almost surely, 232831990416 is an apocalyptic number.

32831990416 is the 181196-th square number.

It is an amenable number.

32831990416 is a deficient number, since it is larger than the sum of its proper divisors (31580472953).

32831990416 is an frugal number, since it uses more digits than its factorization.

32831990416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The spelling of 32831990416 in words is "thirty-two billion, eight hundred thirty-one million, nine hundred ninety thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 97 194 388 467 776 934 1552 1868 3736 7472 9409 18818 37636 45299 75272 90598 150544 181196 218089 362392 436178 724784 872356 1744712 3489424 4394003 8788006 17576012 21154633 35152024 42309266 70304048 84618532 169237064 338474128 2051999401 4103998802 8207997604 16415995208 32831990416