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64005064976146 = 2729732503862789
BaseRepresentation
bin11101000110110010101110…
…01010010110011100010010
322101121211021000201122222111
432203121113022112130102
531342124333113214041
6344043304304255534
716324133114510050
oct1643312712263422
9271554230648874
1064005064976146
1119437439630278
12721873a9115aa
132993861b05718
1411b3c0c60d1d0
1575edba54b981
hex3a3657296712

64005064976146 has 64 divisors (see below), whose sum is σ = 115107505804800. Its totient is φ = 26111581687296.

The previous prime is 64005064976107. The next prime is 64005064976173. The reversal of 64005064976146 is 64167946050046.

64005064976146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (58).

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 31 ways as a sum of consecutive naturals, for example, 73752520 + ... + 74615308.

It is an arithmetic number, because the mean of its divisors is an integer number (1798554778200).

Almost surely, 264005064976146 is an apocalyptic number.

64005064976146 is a deficient number, since it is larger than the sum of its proper divisors (51102440828654).

64005064976146 is a wasteful number, since it uses less digits than its factorization.

64005064976146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865403.

The product of its (nonzero) digits is 26127360, while the sum is 58.

The spelling of 64005064976146 in words is "sixty-four trillion, five billion, sixty-four million, nine hundred seventy-six thousand, one hundred forty-six".

Divisors: 1 2 7 14 29 58 73 146 203 406 511 1022 2117 2503 4234 5006 14819 17521 29638 35042 72587 145174 182719 365438 508109 862789 1016218 1279033 1725578 2558066 5298851 6039523 10597702 12079046 25020881 37091957 50041762 62983597 74183914 125967194 175146167 350292334 440885179 881770358 1826524313 2159560867 3653048626 4319121734 12785670191 15116926069 25571340382 30233852138 62627265143 125254530286 157647943291 315295886582 438390856001 876781712002 1103535603037 2207071206074 4571790355439 9143580710878 32002532488073 64005064976146