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79798292474121 = 32132113220272
BaseRepresentation
bin10010001001001101111100…
…111000000110100100001001
3101110112122100012120000222100
4102021031330320012210021
540424403400333132441
6441414455100144013
722544144035334634
oct2211157470064411
9343478305500870
1079798292474121
11234762a1845531
128b4953a838009
13356ac3cb60100
14159c387bccc1b
15935b0b625cb6
hex48937ce06909

79798292474121 has 81 divisors (see below), whose sum is σ = 125989181303349. Its totient is φ = 48648057599232.

The previous prime is 79798292474107. The next prime is 79798292474233. The reversal of 79798292474121 is 12147429289797.

The square root of 79798292474121 is 8932989.

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

79798292474121 is a `hidden beast` number, since 7 + 9 + 7 + 9 + 8 + 29 + 2 + 474 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59548832470521 + 20249460003600 = 7716789^2 + 4499940^2 .

It is not a de Polignac number, because 79798292474121 - 213 = 79798292465929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 79798292474121.

It is not an unprimeable number, because it can be changed into a prime (79798292474321) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 39367681510 + ... + 39367683536.

Almost surely, 279798292474121 is an apocalyptic number.

79798292474121 is the 8932989-th square number.

79798292474121 is the 4466495-th centered octagonal number.

It is an amenable number.

79798292474121 is a deficient number, since it is larger than the sum of its proper divisors (46190888829228).

79798292474121 is an equidigital number, since it uses as much as digits as its factorization.

79798292474121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312 (or 2156 counting only the distinct ones).

The product of its digits is 256048128, while the sum is 72.

The spelling of 79798292474121 in words is "seventy-nine trillion, seven hundred ninety-eight billion, two hundred ninety-two million, four hundred seventy-four thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 113 117 169 339 507 1017 1469 1521 2027 4407 6081 12769 13221 18243 19097 26351 38307 57291 79053 114921 165997 171873 229051 237159 342563 497991 687153 1027689 1493973 2061459 2157961 2977663 3083067 4108729 6473883 8932989 12326187 19421649 25882763 26798967 36978561 38709619 53413477 77648289 116128857 160240431 232944867 336475919 348386571 464286377 480721293 694375201 1009427757 1392859131 2083125603 3028283271 4178577393 4374186947 6035722901 6249376809 13122560841 18107168703 39367682523 52464360601 54321506109 78464397713 157393081803 235393193139 472179245409 682036687813 706179579417 2046110063439 6138330190317 8866476941569 26599430824707 79798292474121