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97861216032 = 25323071106827
BaseRepresentation
bin101101100100011111…
…0111010011100100000
3100100121010010212012200
41123020332322130200
53100404432403112
6112542401253200
710033043416506
oct1331076723440
9310533125180
1097861216032
1138559118048
1216b71634200
1392c76926b8
144a44d9a676
15282b5b0cdc
hex16c8fba720

97861216032 has 72 divisors (see below), whose sum is σ = 279199576656. Its totient is φ = 32514120576.

The previous prime is 97861216021. The next prime is 97861216049. The reversal of 97861216032 is 23061216879.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 464998 + ... + 641829.

It is an arithmetic number, because the mean of its divisors is an integer number (3877771898).

Almost surely, 297861216032 is an apocalyptic number.

It is an amenable number.

97861216032 is an abundant number, since it is smaller than the sum of its proper divisors (181338360624).

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

97861216032 is a wasteful number, since it uses less digits than its factorization.

97861216032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107150 (or 1107139 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 97861216032 in words is "ninety-seven billion, eight hundred sixty-one million, two hundred sixteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 307 614 921 1228 1842 2456 2763 3684 4912 5526 7368 9824 11052 14736 22104 29472 44208 88416 1106827 2213654 3320481 4427308 6640962 8854616 9961443 13281924 17709232 19922886 26563848 35418464 39845772 53127696 79691544 106255392 159383088 318766176 339795889 679591778 1019387667 1359183556 2038775334 2718367112 3058163001 4077550668 5436734224 6116326002 8155101336 10873468448 12232652004 16310202672 24465304008 32620405344 48930608016 97861216032