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64164188990232 = 2332312927335371
BaseRepresentation
bin11101001011011011000111…
…01100010010101100011000
322102012000222122122010012200
432211231203230102230120
531402231224340141412
6344244342124210200
716341465263352342
oct1645554354225430
9272160878563180
1064164188990232
1119498974a23231
127243549099960
1329a5870736186
1411bb7c5a58292
157640d01529dc
hex3a5b63b12b18

64164188990232 has 72 divisors (see below), whose sum is σ = 179564584757220. Its totient is φ = 20698125458400.

The previous prime is 64164188990141. The next prime is 64164188990243. The reversal of 64164188990232 is 23209988146146.

64164188990232 is a `hidden beast` number, since 6 + 416 + 4 + 188 + 9 + 9 + 0 + 2 + 32 = 666.

64164188990232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 64164188990232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 463598494 + ... + 463736877.

Almost surely, 264164188990232 is an apocalyptic number.

64164188990232 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

64164188990232 is an abundant number, since it is smaller than the sum of its proper divisors (115400395766988).

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

64164188990232 is a wasteful number, since it uses less digits than its factorization.

64164188990232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927335445 (or 927335407 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 64164188990232 in words is "sixty-four trillion, one hundred sixty-four billion, one hundred eighty-eight million, nine hundred ninety thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 961 1116 1922 2232 2883 3844 5766 7688 8649 11532 17298 23064 34596 69192 927335371 1854670742 2782006113 3709341484 5564012226 7418682968 8346018339 11128024452 16692036678 22256048904 28747396501 33384073356 57494793002 66768146712 86242189503 114989586004 172484379006 229979172008 258726568509 344968758012 517453137018 689937516024 891169291531 1034906274036 1782338583062 2069812548072 2673507874593 3564677166124 5347015749186 7129354332248 8020523623779 10694031498372 16041047247558 21388062996744 32082094495116 64164188990232