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79149224662225 = 5279210122232
BaseRepresentation
bin10001111111110001011101…
…011010111001010011010001
3101101020120222112221212112121
4101333301131122321103101
540333240103003142400
6440200352444254241
722446225400063504
oct2177613532712321
9341216875855477
1079149224662225
1123245aa79a6683
128a63797241381
1335219806194a3
141578bb2d5313b
15923cbdb9c21a
hex47fc5d6b94d1

79149224662225 has 81 divisors (see below), whose sum is σ = 100849270141809. Its totient is φ = 61621306344000.

The previous prime is 79149224662219. The next prime is 79149224662231. The reversal of 79149224662225 is 52226642294197.

The square root of 79149224662225 is 8896585.

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

It is an interprime number because it is at equal distance from previous prime (79149224662219) and next prime (79149224662231).

It can be written as a sum of positive squares in 4 ways, for example, as 14614480306321 + 64534744355904 = 3822889^2 + 8033352^2 .

It is not a de Polignac number, because 79149224662225 - 227 = 79149090444497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 354929258464 + ... + 354929258686.

Almost surely, 279149224662225 is an apocalyptic number.

79149224662225 is the 8896585-th square number.

79149224662225 is the 4448293-rd centered octagonal number.

It is an amenable number.

79149224662225 is a deficient number, since it is larger than the sum of its proper divisors (21700045479584).

79149224662225 is an frugal number, since it uses more digits than its factorization.

79149224662225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 408 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 61.

The spelling of 79149224662225 in words is "seventy-nine trillion, one hundred forty-nine billion, two hundred twenty-four million, six hundred sixty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 79 101 223 395 505 1115 1975 2525 5575 6241 7979 10201 17617 22523 31205 39895 49729 51005 88085 112615 156025 199475 248645 255025 440425 563075 630341 805879 1243225 1391743 1779317 2274823 3151705 3928591 4029395 5022629 6958715 8896585 11374115 15758525 19642955 20146975 25113145 34793575 44482925 56870575 63664441 98214775 125565725 140566043 179711017 310358689 318322205 396787691 507285529 702830215 898555085 1551793445 1591611025 1983938455 2536427645 3514151075 4492775425 7758967225 9919692275 12682138225 14197170343 31346227589 40075556791 70985851715 156731137945 200377783955 354929258575 783655689725 1001888919775 3165968986489 15829844932445 79149224662225