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99414359955625 = 5411213227892
BaseRepresentation
bin10110100110101010110101…
…100111000101100010101001
3111000222220211200020210122211
4112212222311213011202221
5101012301102122040000
6551234154304045121
726640310341663121
oct2646526547054251
9430886750223584
1099414359955625
1129749436516900
12b1972040037a1
134361970558100
141a79975b83c81
15b75ee04887ba
hex5a6ab59c58a9

99414359955625 has 135 divisors (see below), whose sum is σ = 147913065503049. Its totient is φ = 66715780560000.

The previous prime is 99414359955611. The next prime is 99414359955697. The reversal of 99414359955625 is 52655995341499.

The square root of 99414359955625 is 9970675.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 72741845227689 + 26672514727936 = 8528883^2 + 5164544^2 .

It is not a de Polignac number, because 99414359955625 - 241 = 97215336700073 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 35645161731 + ... + 35645164519.

Almost surely, 299414359955625 is an apocalyptic number.

99414359955625 is the 9970675-th square number.

99414359955625 is the 4985338-th centered octagonal number.

It is an amenable number.

99414359955625 is a deficient number, since it is larger than the sum of its proper divisors (48498705547424).

99414359955625 is an frugal number, since it uses more digits than its factorization.

99414359955625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5646 (or 2818 counting only the distinct ones).

The product of its digits is 2361960000, while the sum is 76.

The spelling of 99414359955625 in words is "ninety-nine trillion, four hundred fourteen billion, three hundred fifty-nine million, nine hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 5 11 13 25 55 65 121 125 143 169 275 325 605 625 715 845 1375 1573 1625 1859 2789 3025 3575 4225 6875 7865 8125 9295 13945 15125 17875 20449 21125 30679 36257 39325 46475 69725 75625 89375 102245 105625 153395 181285 196625 232375 337469 348625 398827 471341 511225 766975 906425 983125 1161875 1687345 1743125 1994135 2356705 2556125 3834875 4387097 4532125 5184751 7778521 8436725 9970675 11783525 12780625 19174375 21935485 22660625 25923755 38892605 42183625 49853375 57032261 58917625 85563731 101120773 109677425 129618775 194463025 210918125 249266875 285161305 294588125 427818655 505603865 548387125 648093875 941201041 972315125 1112328503 1314570049 1425806525 2139093275 2528019325 2741935625 3240469375 4706005205 4861575625 5561642515 6572850245 7129032625 10695466375 12235613533 12640096625 14460270539 23530026025 27808212575 32864251225 35645163125 53477331875 61178067665 63200483125 72301352695 117650130125 139041062875 159062975929 164321256125 305890338325 361506763475 588250650625 695205314375 795314879645 821606280625 1529451691625 1807533817375 3976574398225 7647258458125 9037669086875 19882871991125 99414359955625