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61500606112 = 2511221137517
BaseRepresentation
bin111001010001101110…
…001100011010100000
312212202002020111100101
4321101232030122200
52001423123343422
644130351232144
74305020345431
oct712156143240
9185662214311
1061500606112
112409a541700
12bb04518654
135a516022ba
142d95cb3488
1518ee36bc27
hexe51b8c6a0

61500606112 has 72 divisors (see below), whose sum is σ = 133167882708. Its totient is φ = 27937873920.

The previous prime is 61500606061. The next prime is 61500606163. The reversal of 61500606112 is 21160600516.

It is an interprime number because it is at equal distance from previous prime (61500606061) and next prime (61500606163).

It can be written as a sum of positive squares in 2 ways, for example, as 60734645136 + 765960976 = 246444^2 + 27676^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8177778 + ... + 8185294.

Almost surely, 261500606112 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 61500606112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66583941354).

61500606112 is an abundant number, since it is smaller than the sum of its proper divisors (71667276596).

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

61500606112 is a wasteful number, since it uses less digits than its factorization.

61500606112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9662 (or 9643 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 61500606112 in words is "sixty-one billion, five hundred million, six hundred six thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 2113 3872 4226 7517 8452 15034 16904 23243 30068 33808 46486 60136 67616 82687 92972 120272 165374 185944 240544 255673 330748 371888 511346 661496 743776 909557 1022692 1322992 1819114 2045384 2645984 3638228 4090768 7276456 8181536 14552912 15883421 29105824 31766842 63533684 127067368 174717631 254134736 349435262 508269472 698870524 1397741048 1921893941 2795482096 3843787882 5590964192 7687575764 15375151528 30750303056 61500606112