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99972321856 = 2611235932
BaseRepresentation
bin101110100011011010…
…0001001001001000000
3100120001020120010222021
41131012310021021000
53114220403244411
6113532053451224
710136256500131
oct1350664111100
9316036503867
1099972321856
1139441851100
1217460640b14
139572b6b544
144ba54d7c88
152901abda71
hex1746d09240

99972321856 has 63 divisors (see below), whose sum is σ = 218117587513. Its totient is φ = 45429317120.

The previous prime is 99972321829. The next prime is 99972321871. The reversal of 99972321856 is 65812327999.

The square root of 99972321856 is 316184.

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., 31755240000 + 68217081856 = 178200^2 + 261184^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 99972321794 and 99972321803.

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, 27822396 + ... + 27825988.

Almost surely, 299972321856 is an apocalyptic number.

99972321856 is the 316184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99972321856

99972321856 is an abundant number, since it is smaller than the sum of its proper divisors (118145265657).

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

99972321856 is an frugal number, since it uses more digits than its factorization.

99972321856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7220 (or 3606 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 61.

The spelling of 99972321856 in words is "ninety-nine billion, nine hundred seventy-two million, three hundred twenty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3593 3872 7186 7744 14372 28744 39523 57488 79046 114976 158092 229952 316184 434753 632368 869506 1264736 1739012 2529472 3478024 6956048 12909649 13912096 25819298 27824192 51638596 103277192 142006139 206554384 284012278 413108768 568024556 826217536 1136049112 1562067529 2272098224 3124135058 4544196448 6248270116 9088392896 12496540232 24993080464 49986160928 99972321856