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381212544856 = 2311132335940357
BaseRepresentation
bin1011000110000100000…
…10011100111101011000
31100102222100122202120211
411203002002130331120
522221210402413411
6451043203500504
736353542111213
oct5430202347530
91312870582524
10381212544856
111377425a8270
1261a6b387734
1329c4322ab90
1414644d5477a
159db2345221
hex58c209cf58

381212544856 has 128 divisors (see below), whose sum is σ = 878706662400. Its totient is φ = 152565050880.

The previous prime is 381212544851. The next prime is 381212544859. The reversal of 381212544856 is 658445212183.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381212544851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9425830 + ... + 9466186.

It is an arithmetic number, because the mean of its divisors is an integer number (6864895800).

Almost surely, 2381212544856 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 381212544856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439353331200).

381212544856 is an abundant number, since it is smaller than the sum of its proper divisors (497494117544).

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

381212544856 is a wasteful number, since it uses less digits than its factorization.

381212544856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40769 (or 40765 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 49.

The spelling of 381212544856 in words is "three hundred eighty-one billion, two hundred twelve million, five hundred forty-four thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 13 22 23 26 44 46 52 88 92 104 143 184 253 286 299 359 506 572 598 718 1012 1144 1196 1436 2024 2392 2872 3289 3949 4667 6578 7898 8257 9334 13156 15796 16514 18668 26312 31592 33028 37336 40357 51337 66056 80714 90827 102674 107341 161428 181654 205348 214682 322856 363308 410696 429364 443927 524641 726616 858728 887854 928211 1049282 1180751 1775708 1856422 2098564 2361502 3551416 3712844 4197128 4723004 5771051 7425688 9446008 10210321 11542102 12066743 14488163 20420642 23084204 24133486 28976326 40841284 46168408 48266972 57952652 81682568 96533944 115905304 132734173 159369793 188346119 265468346 318739586 333227749 376692238 530936692 637479172 666455498 753384476 1061873384 1274958344 1332910996 1506768952 2071807309 2665821992 3665505239 4143614618 4331960737 7331010478 8287229236 8663921474 14662020956 16574458472 17327842948 29324041912 34655685896 47651568107 95303136214 190606272428 381212544856