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79784893553121 = 34672148132
BaseRepresentation
bin10010001001000001011110…
…001111010001100111100001
3101110111100202102010022210000
4102021001132033101213201
540424143430222144441
6441404401334530213
722543161016361211
oct2211013617214741
9343440672108700
1079784893553121
11234706464718a9
128b46a1b506969
1335698b5c36ca3
14159b8764a0241
159355c51752b6
hex48905e3d19e1

79784893553121 has 45 divisors (see below), whose sum is σ = 120998438026851. Its totient is φ = 52392512330928.

The previous prime is 79784893553111. The next prime is 79784893553149. The reversal of 79784893553121 is 12135539848797.

It is a happy number.

The square root of 79784893553121 is 8932239.

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

79784893553121 is a `hidden beast` number, since 7 + 9 + 7 + 8 + 4 + 89 + 3 + 5 + 531 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23768111315025 + 56016782238096 = 4875255^2 + 7484436^2 .

It is a de Polignac number, because none of the positive numbers 2k-79784893553121 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 79784893553121.

It is not an unprimeable number, because it can be changed into a prime (79784893553111) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5386132711 + ... + 5386147523.

Almost surely, 279784893553121 is an apocalyptic number.

79784893553121 is the 8932239-th square number.

79784893553121 is the 4466120-th centered octagonal number.

It is an amenable number.

79784893553121 is a deficient number, since it is larger than the sum of its proper divisors (41213544473730).

79784893553121 is an frugal number, since it uses more digits than its factorization.

79784893553121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29772 (or 14883 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 72.

The spelling of 79784893553121 in words is "seventy-nine trillion, seven hundred eighty-four billion, eight hundred ninety-three million, five hundred fifty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 27 67 81 201 603 1809 4489 5427 13467 14813 40401 44439 121203 133317 363609 399951 992471 1199853 2977413 8932239 26796717 66495557 80390151 199486671 219424969 598460013 658274907 1795380039 1974824721 5386140117 5924474163 14701472923 17773422489 44104418769 132313256307 396939768921 984998685841 1190819306763 2954996057523 8864988172569 26594964517707 79784893553121