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61670060136 = 23328919150387
BaseRepresentation
bin111001011011110100…
…100111000001101000
312220011220002122120100
4321123310213001220
52002300013411021
644155243225400
74312145601456
oct713364470150
9186156078510
1061670060136
1124177160a53
12bb51218260
135a7a752c59
142db05c39d6
15190e190626
hexe5bd27068

61670060136 has 96 divisors (see below), whose sum is σ = 169787404800. Its totient is φ = 20218894080.

The previous prime is 61670060093. The next prime is 61670060191. The reversal of 61670060136 is 63106007616.

61670060136 is a `hidden beast` number, since 6 + 16 + 7 + 0 + 0 + 601 + 36 = 666.

61670060136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61670060136.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1198735 + ... + 1249121.

It is an arithmetic number, because the mean of its divisors is an integer number (1768618800).

Almost surely, 261670060136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61670060136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84893702400).

61670060136 is an abundant number, since it is smaller than the sum of its proper divisors (108117344664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61670060136 is a wasteful number, since it uses less digits than its factorization.

61670060136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50679 (or 50672 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 61670060136 in words is "sixty-one billion, six hundred seventy million, sixty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 191 267 356 382 534 573 712 764 801 1068 1146 1528 1602 1719 2136 2292 3204 3438 4584 6408 6876 13752 16999 33998 50387 50997 67996 100774 101994 135992 151161 152991 201548 203988 302322 305982 403096 407976 453483 604644 611964 906966 1209288 1223928 1813932 3627864 4484443 8968886 9623917 13453329 17937772 19247834 26906658 28871751 35875544 38495668 40359987 53813316 57743502 76991336 80719974 86615253 107626632 115487004 161439948 173230506 230974008 322879896 346461012 692922024 856528613 1713057226 2569585839 3426114452 5139171678 6852228904 7708757517 10278343356 15417515034 20556686712 30835030068 61670060136