Search a number
-
+
196098147225 = 32523761386153
BaseRepresentation
bin1011011010100001011…
…1000100001110011001
3200202011102021000201200
42312220113010032121
511203102111202400
6230030343504413
720111331514641
oct2665027041631
9622142230650
10196098147225
117618a323492
1232008a58109
1315651b42b56
1496c3bd9521
15517ab39b00
hex2da85c4399

196098147225 has 72 divisors (see below), whose sum is σ = 366640866072. Its totient is φ = 100090598400.

The previous prime is 196098147209. The next prime is 196098147293. The reversal of 196098147225 is 522741890691.

It is a happy number.

196098147225 is a `hidden beast` number, since 1 + 9 + 60 + 98 + 1 + 472 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 82812723984 + 113285423241 = 287772^2 + 336579^2 .

It is not a de Polignac number, because 196098147225 - 24 = 196098147209 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 314749 + ... + 700901.

It is an arithmetic number, because the mean of its divisors is an integer number (5092234251).

Almost surely, 2196098147225 is an apocalyptic number.

196098147225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

196098147225 is a deficient number, since it is larger than the sum of its proper divisors (170542718847).

196098147225 is a wasteful number, since it uses less digits than its factorization.

196098147225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386267 (or 386259 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 196098147225 in words is "one hundred ninety-six billion, ninety-eight million, one hundred forty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 61 75 111 183 185 225 305 333 549 555 915 925 1525 1665 2257 2745 2775 4575 6771 8325 11285 13725 20313 33855 56425 101565 169275 386153 507825 1158459 1930765 3475377 5792295 9653825 14287661 17376885 23555333 28961475 42862983 70665999 71438305 86884425 117776665 128588949 211997997 214314915 353329995 357191525 588883325 642944745 871547321 1059989985 1071574575 1766649975 2614641963 3214723725 4357736605 5299949925 7843925889 13073209815 21788683025 39219629445 65366049075 196098147225