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63134277243136 = 281130497353179
BaseRepresentation
bin11100101101011100110000…
…01010110001000100000000
322021112120121022222111120121
432112232120022301010000
531233342444433240021
6342135253033150024
716204205150062501
oct1626563012610400
9267476538874517
1063134277243136
1119131107661aa0
1270b7a1985b314
13292c6c94651c8
141183a02bbaba8
157474028e6741
hex396b982b1100

63134277243136 has 72 divisors (see below), whose sum is σ = 137523584268000. Its totient is φ = 28687982776320.

The previous prime is 63134277243127. The next prime is 63134277243181.

63134277243136 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×631342772431362 (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 7 ways as a sum of consecutive naturals, for example, 4909395 + ... + 12262573.

It is an arithmetic number, because the mean of its divisors is an integer number (1910049781500).

Almost surely, 263134277243136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63134277243136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68761792134000).

63134277243136 is an abundant number, since it is smaller than the sum of its proper divisors (74389307024864).

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

63134277243136 is a wasteful number, since it uses less digits than its factorization.

63134277243136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7356255 (or 7356241 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 52.

The spelling of 63134277243136 in words is "sixty-three trillion, one hundred thirty-four billion, two hundred seventy-seven million, two hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 3049 6098 12196 24392 33539 48784 67078 97568 134156 195136 268312 390272 536624 780544 1073248 2146496 4292992 7353179 8585984 14706358 29412716 58825432 80884969 117650864 161769938 235301728 323539876 470603456 647079752 941206912 1294159504 1882413824 2588319008 5176638016 10353276032 20706552064 22419842771 44839685542 89679371084 179358742168 246618270481 358717484336 493236540962 717434968672 986473081924 1434869937344 1972946163848 2869739874688 3945892327696 5739479749376 7891784655392 15783569310784 31567138621568 63134277243136