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23152495383616 = 26181233232
BaseRepresentation
bin1010100001110100111000…
…10000110101010001000000
310000222100122012200220202211
411100322130100311101000
511013312302304233431
6121124035354551504
74606466263451104
oct520723420652100
9100870565626684
1023152495383616
117416a11072575
12271b137a38594
13cbc36a367231
145a08300b3904
152a23b22c22b1
hex150e9c435440

23152495383616 has 63 divisors (see below), whose sum is σ = 46212372240933. Its totient is φ = 11508826095360.

The previous prime is 23152495383581. The next prime is 23152495383623. The reversal of 23152495383616 is 61638359425132.

It is a happy number.

The square root of 23152495383616 is 4811704.

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., 255121969216 + 22897373414400 = 505096^2 + 4785120^2 .

It is a Duffinian number.

It is an unprimeable number.

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, 6967345731 + ... + 6967349053.

Almost surely, 223152495383616 is an apocalyptic number.

23152495383616 is the 4811704-th square number.

It is an amenable number.

23152495383616 is a deficient number, since it is larger than the sum of its proper divisors (23059876857317).

23152495383616 is an frugal number, since it uses more digits than its factorization.

23152495383616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7020 (or 3506 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 58.

The spelling of 23152495383616 in words is "twenty-three trillion, one hundred fifty-two billion, four hundred ninety-five million, three hundred eighty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 181 362 724 1448 2896 3323 5792 6646 11584 13292 26584 32761 53168 65522 106336 131044 212672 262088 524176 601463 1048352 1202926 2096704 2405852 4811704 9623408 11042329 19246816 22084658 38493632 44169316 88338632 108864803 176677264 217729606 353354528 435459212 706709056 870918424 1741836848 1998661549 3483673696 3997323098 6967347392 7994646196 15989292392 31978584784 63957169568 127914339136 361757740369 723515480738 1447030961476 2894061922952 5788123845904 11576247691808 23152495383616