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64139855893146 = 232111127928720513
BaseRepresentation
bin11101001010101101110010…
…10100111001001010011010
322102002201011211121201012200
432211112321110321022122
531401331411102040041
6344225235405351030
716336644264424335
oct1645267124711232
9272081154551180
1064139855893146
1119489618590240
12723a897b68476
1329a3493421487
1411ba5580b161c
15763658cb61b6
hex3a55b953929a

64139855893146 has 48 divisors (see below), whose sum is σ = 151616742226560. Its totient is φ = 19434596060160.

The previous prime is 64139855893067. The next prime is 64139855893163.

It is a happy number.

64139855893146 is a `hidden beast` number, since 6 + 4 + 1 + 3 + 9 + 8 + 5 + 589 + 31 + 4 + 6 = 666.

64139855893146 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×641398558931462 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12127015 + ... + 16593498.

It is an arithmetic number, because the mean of its divisors is an integer number (3158682129720).

Almost surely, 264139855893146 is an apocalyptic number.

64139855893146 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

64139855893146 is an abundant number, since it is smaller than the sum of its proper divisors (87476886333414).

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

64139855893146 is a wasteful number, since it uses less digits than its factorization.

64139855893146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28731811 (or 28731808 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 72.

The spelling of 64139855893146 in words is "sixty-four trillion, one hundred thirty-nine billion, eight hundred fifty-five million, eight hundred ninety-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 11279 22558 33837 67674 101511 124069 203022 248138 372207 744414 1116621 2233242 28720513 57441026 86161539 172323078 258484617 315925643 516969234 631851286 947776929 1895553858 2843330787 5686661574 323938666127 647877332254 971815998381 1943631996762 2915447995143 3563325327397 5830895990286 7126650654794 10689975982191 21379951964382 32069927946573 64139855893146