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64139879754 = 2335956935381
BaseRepresentation
bin111011101111000010…
…001110010101001010
320010120000111111011000
4323233002032111022
52022324302123004
645244312115430
74430305660656
oct735702162512
9203500444130
1064139879754
1125224320a95
1210520395b76
136082346292
143166619a66
151a05e08c39
hexeef08e54a

64139879754 has 64 divisors (see below), whose sum is σ = 145207728000. Its totient is φ = 20980056960.

The previous prime is 64139879743. The next prime is 64139879761. The reversal of 64139879754 is 45797893146.

64139879754 is a `hidden beast` number, since 6 + 413 + 9 + 87 + 97 + 54 = 666.

It is a super-2 number, since 2×641398797542 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64139879691 and 64139879700.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1795144 + ... + 1830524.

It is an arithmetic number, because the mean of its divisors is an integer number (2268870750).

Almost surely, 264139879754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64139879754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72603864000).

64139879754 is an abundant number, since it is smaller than the sum of its proper divisors (81067848246).

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

64139879754 is a wasteful number, since it uses less digits than its factorization.

64139879754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36020 (or 36014 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 64139879754 in words is "sixty-four billion, one hundred thirty-nine million, eight hundred seventy-nine thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 354 531 569 1062 1138 1593 1707 3186 3414 5121 10242 15363 30726 33571 35381 67142 70762 100713 106143 201426 212286 302139 318429 604278 636858 906417 955287 1812834 1910574 2087479 4174958 6262437 12524874 18787311 20131789 37574622 40263578 56361933 60395367 112723866 120790734 181186101 362372202 543558303 1087116606 1187775551 2375551102 3563326653 7126653306 10689979959 21379959918 32069939877 64139879754