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64040063076 = 22331153905777
BaseRepresentation
bin111011101001000101…
…011101000001100100
320010022001200021102000
4323221011131001210
52022123224004301
645230344445300
74424654361153
oct735105350144
9203261607360
1064040063076
1125182a45270
12104b2a79830
136067768062
14315727559a
1519ec28d786
hexee915d064

64040063076 has 48 divisors (see below), whose sum is σ = 181123414080. Its totient is φ = 19406079360.

The previous prime is 64040063063. The next prime is 64040063077. The reversal of 64040063076 is 67036004046.

64040063076 is a `hidden beast` number, since 640 + 4 + 0 + 0 + 6 + 3 + 0 + 7 + 6 = 666.

It is a super-2 number, since 2×640400630762 (a number of 22 digits) contains 22 as substring.

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 64040063076.

It is not an unprimeable number, because it can be changed into a prime (64040063077) 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 15 ways as a sum of consecutive naturals, for example, 26951701 + ... + 26954076.

It is an arithmetic number, because the mean of its divisors is an integer number (3773404460).

Almost surely, 264040063076 is an apocalyptic number.

64040063076 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

64040063076 is an abundant number, since it is smaller than the sum of its proper divisors (117083351004).

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

64040063076 is a wasteful number, since it uses less digits than its factorization.

64040063076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53905801 (or 53905793 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 64040063076 in words is "sixty-four billion, forty million, sixty-three thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 53905777 107811554 161717331 215623108 323434662 485151993 592963547 646869324 970303986 1185927094 1455455979 1778890641 1940607972 2371854188 2910911958 3557781282 5336671923 5821823916 7115562564 10673343846 16010015769 21346687692 32020031538 64040063076