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139966262003712 = 211365633471121
BaseRepresentation
bin11111110100110001101111…
…010100111100100000000000
3200100120122101110020202022010
4133310301233110330200000
5121321201401033104322
61213403340232412520
741324141311041624
oct3764615724744000
9610518343222263
10139966262003712
11406633a3a96291
1213846495b47140
1360139b9ab01a1
14267c590651184
15112ac9c64320c
hex7f4c6f53c800

139966262003712 has 96 divisors (see below), whose sum is σ = 373209205955040. Its totient is φ = 46648298373120.

The previous prime is 139966262003657. The next prime is 139966262003713. The reversal of 139966262003712 is 217300262669931.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (139966262003713) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 38587512 + ... + 42058632.

It is an arithmetic number, because the mean of its divisors is an integer number (3887595895365).

Almost surely, 2139966262003712 is an apocalyptic number.

139966262003712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139966262003712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186604602977520).

139966262003712 is an abundant number, since it is smaller than the sum of its proper divisors (233242943951328).

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

139966262003712 is an equidigital number, since it uses as much as digits as its factorization.

139966262003712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477709 (or 3477689 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 57.

The spelling of 139966262003712 in words is "one hundred thirty-nine trillion, nine hundred sixty-six billion, two hundred sixty-two million, three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 6563 13126 19689 26252 39378 52504 78756 105008 157512 210016 315024 420032 630048 840064 1260096 1680128 2520192 3360256 3471121 5040384 6720512 6942242 10080768 10413363 13441024 13884484 20161536 20826726 27768968 40323072 41653452 55537936 83306904 111075872 166613808 222151744 333227616 444303488 666455232 888606976 1332910464 1777213952 2665820928 3554427904 5331641856 7108855808 10663283712 21326567424 22780967123 45561934246 68342901369 91123868492 136685802738 182247736984 273371605476 364495473968 546743210952 728990947936 1093486421904 1457981895872 2186972843808 2915963791744 4373945687616 5831927583488 8747891375232 11663855166976 17495782750464 23327710333952 34991565500928 46655420667904 69983131001856 139966262003712