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99088783872 = 293137017079
BaseRepresentation
bin101110001001000100…
…1101101101000000000
3100110202200000202201020
41130102021231220000
53110413212040442
6113304252305440
710105340523501
oct1342211555000
9313680022636
1099088783872
1139029042a21
1217254772280
139461ab9ac0
144b20024ba8
15289e2449ec
hex171226da00

99088783872 has 160 divisors (see below), whose sum is σ = 284730526080. Its totient is φ = 30441062400.

The previous prime is 99088783853. The next prime is 99088783879. The reversal of 99088783872 is 27838788099.

It is a junction number, because it is equal to n+sod(n) for n = 99088783797 and 99088783806.

It is not an unprimeable number, because it can be changed into a prime (99088783879) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13994029 + ... + 14001107.

It is an arithmetic number, because the mean of its divisors is an integer number (1779565788).

Almost surely, 299088783872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99088783872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142365263040).

99088783872 is an abundant number, since it is smaller than the sum of its proper divisors (185641742208).

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

99088783872 is a wasteful number, since it uses less digits than its factorization.

99088783872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7814 (or 7798 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 69.

The spelling of 99088783872 in words is "ninety-nine billion, eighty-eight million, seven hundred eighty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 701 768 832 1248 1402 1536 1664 2103 2496 2804 3328 4206 4992 5608 6656 7079 8412 9113 9984 11216 14158 16824 18226 19968 21237 22432 27339 28316 33648 36452 42474 44864 54678 56632 67296 72904 84948 89728 92027 109356 113264 134592 145808 169896 179456 184054 218712 226528 269184 276081 291616 339792 358912 368108 437424 453056 538368 552162 583232 679584 736216 874848 906112 1076736 1104324 1166464 1359168 1472432 1749696 1812224 2208648 2332928 2718336 2944864 3499392 3624448 4417296 4665856 4962379 5436672 5889728 6998784 8834592 9924758 10873344 11779456 13997568 14887137 17669184 19849516 23558912 29774274 35338368 39699032 47117824 59548548 64510927 70676736 79398064 119097096 129021854 141353472 158796128 193532781 238194192 258043708 317592256 387065562 476388384 516087416 635184512 774131124 952776768 1032174832 1270369024 1548262248 1905553536 2064349664 2540738048 3096524496 3811107072 4128699328 6193048992 7622214144 8257398656 12386097984 16514797312 24772195968 33029594624 49544391936 99088783872