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61465192832 = 272961271451
BaseRepresentation
bin111001001111100111…
…000110100110000000
312212122121121022110102
4321033213012212000
52001340042132312
644123044221532
74304110342631
oct711747064600
9185577538412
1061465192832
112408155412a
12bab469a8a8
135a471833b4
142d912d5888
1518eb1c3ec2
hexe4f9c6980

61465192832 has 64 divisors (see below), whose sum is σ = 128749683600. Its totient is φ = 29186304000.

The previous prime is 61465192823. The next prime is 61465192837. The reversal of 61465192832 is 23829156416.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61465192837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90707 + ... + 362157.

Almost surely, 261465192832 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 61465192832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64374841800).

61465192832 is an abundant number, since it is smaller than the sum of its proper divisors (67284490768).

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

61465192832 is a wasteful number, since it uses less digits than its factorization.

61465192832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271555 (or 271543 counting only the distinct ones).

The product of its digits is 622080, while the sum is 47.

The spelling of 61465192832 in words is "sixty-one billion, four hundred sixty-five million, one hundred ninety-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 61 64 116 122 128 232 244 464 488 928 976 1769 1856 1952 3538 3712 3904 7076 7808 14152 28304 56608 113216 226432 271451 542902 1085804 2171608 4343216 7872079 8686432 15744158 16558511 17372864 31488316 33117022 34745728 62976632 66234044 125953264 132468088 251906528 264936176 480196819 503813056 529872352 960393638 1007626112 1059744704 1920787276 2119489408 3841574552 7683149104 15366298208 30732596416 61465192832