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61696161252 = 22321117831091013
BaseRepresentation
bin111001011101011000…
…001011010111100100
312220020201012201120100
4321131120023113210
52002323204130002
644202014504100
74312613501145
oct713530132744
9186221181510
1061696161252
112418a969120
12bb59b05030
135a82c913bb
142db3c59acc
1519115e911c
hexe5d60b5e4

61696161252 has 288 divisors, whose sum is σ = 184164140160. Its totient is φ = 17207562240.

The previous prime is 61696161211. The next prime is 61696161259. The reversal of 61696161252 is 25216169616.

61696161252 is a `hidden beast` number, since 6 + 1 + 6 + 9 + 616 + 1 + 25 + 2 = 666.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 61696161198 and 61696161207.

It is not an unprimeable number, because it can be changed into a prime (61696161259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60903898 + ... + 60904910.

It is an arithmetic number, because the mean of its divisors is an integer number (639458820).

Almost surely, 261696161252 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 61696161252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92082070080).

61696161252 is an abundant number, since it is smaller than the sum of its proper divisors (122467978908).

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

61696161252 is a wasteful number, since it uses less digits than its factorization.

61696161252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1238 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 61696161252 in words is "sixty-one billion, six hundred ninety-six million, one hundred sixty-one thousand, two hundred fifty-two".