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99308918128996 = 2219229290432
BaseRepresentation
bin10110100101001000101000…
…110010011100000101100100
3111000121211200020212000122201
4112211020220302130011210
5101004034131020111441
6551113515343504244
726626555366151632
oct2645105062340544
9430554606760581
1099308918128996
112970874833a924
12b17a8978b8084
134354a384c2414
141a748120d0352
15b733bd620c31
hex5a5228c9c164

99308918128996 has 81 divisors (see below), whose sum is σ = 189982789688601. Its totient is φ = 45413938186848.

The previous prime is 99308918128993. The next prime is 99308918129009. The reversal of 99308918128996 is 69982181980399.

The square root of 99308918128996 is 9965386.

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., 52075187746596 + 47233730382400 = 7216314^2 + 6872680^2 .

It is a super-2 number, since 2×993089181289962 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (99308918128993) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 10981850851 + ... + 10981859893.

Almost surely, 299308918128996 is an apocalyptic number.

99308918128996 is the 9965386-th square number.

It is an amenable number.

99308918128996 is a deficient number, since it is larger than the sum of its proper divisors (90673871559605).

99308918128996 is an frugal number, since it uses more digits than its factorization.

99308918128996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18186 (or 9093 counting only the distinct ones).

The product of its (nonzero) digits is 1088391168, while the sum is 82.

The spelling of 99308918128996 in words is "ninety-nine trillion, three hundred eight billion, nine hundred eighteen million, one hundred twenty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 4 19 29 38 58 76 116 361 551 722 841 1102 1444 1682 2204 3364 9043 10469 15979 18086 20938 31958 36172 41876 63916 171817 262247 303601 343634 524494 607202 687268 1048988 1214404 3264523 4982693 6529046 7605163 9965386 13058092 15210326 19930772 30420652 81775849 94671167 144498097 163551698 189342334 288996194 327103396 378684668 577992388 1553741131 2371499621 2745463843 3107482262 4742999242 5490927686 6214964524 9485998484 10981855372 29521081489 45058492799 59042162978 68773489009 90116985598 118084325956 137546978018 180233971196 275093956036 856111363181 1306696291171 1712222726362 2613392582342 3424445452724 5226785164684 24827229532249 49654459064498 99308918128996