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12634153338378 = 231113191549350023
BaseRepresentation
bin1011011111011001111000…
…1110001100011000001010
31122201210221212110111211010
42313312132032030120022
53123444221223312003
642512014440544350
72442534045315435
oct267663616143012
948653855414733
1012634153338378
114031129207a90
1215007004820b6
1370851b031150
143196d3b3881c
1516d99b32b003
hexb7d9e38c60a

12634153338378 has 128 divisors (see below), whose sum is σ = 31250897233920. Its totient is φ = 3347744359680.

The previous prime is 12634153338377. The next prime is 12634153338409. The reversal of 12634153338378 is 87383335143621.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (12634153338377) 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 63 ways as a sum of consecutive naturals, for example, 252541875 + ... + 252591897.

It is an arithmetic number, because the mean of its divisors is an integer number (244147634640).

Almost surely, 212634153338378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12634153338378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15625448616960).

12634153338378 is an abundant number, since it is smaller than the sum of its proper divisors (18616743895542).

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

12634153338378 is a wasteful number, since it uses less digits than its factorization.

12634153338378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65564.

The product of its digits is 26127360, while the sum is 57.

The spelling of 12634153338378 in words is "twelve trillion, six hundred thirty-four billion, one hundred fifty-three million, three hundred thirty-eight thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 11 13 19 22 26 33 38 39 57 66 78 114 143 209 247 286 418 429 494 627 741 858 1254 1482 2717 5434 8151 15493 16302 30986 46479 50023 92958 100046 150069 170423 201409 294367 300138 340846 402818 511269 550253 588734 604227 650299 883101 950437 1022538 1100506 1208454 1300598 1650759 1766202 1900874 1950897 2215499 2851311 3238037 3301518 3826771 3901794 4430998 5702622 6476074 6646497 7153289 7653542 9714111 10454807 11480313 12355681 13292994 14306578 19428222 20909614 21459867 22960626 24711362 31364421 37067043 42094481 42919734 62728842 74134086 84188962 126283443 135912491 252566886 271824982 407737473 775006339 815474946 1550012678 2325019017 4650038034 8525069729 10075082407 14725120441 17050139458 20150164814 25575209187 29450240882 30225247221 44175361323 51150418374 60450494442 88350722646 110825906477 161976324851 191426565733 221651812954 323952649702 332477719431 382853131466 485928974553 574279697199 664955438862 971857949106 1148559394398 2105692223063 4211384446126 6317076669189 12634153338378