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38376542181816 = 233214933710614931
BaseRepresentation
bin10001011100111001111000…
…01010100001100110111000
312000212202120012121220021100
420232130330022201212320
520012230124244304231
6213341535021011400
711040420330216126
oct1056347412414670
9160782505556240
1038376542181816
1111256444650693
12437976a3b3b60
131854b7a7a9147
149696125a8916
154683de0431e6
hex22e73c2a19b8

38376542181816 has 96 divisors (see below), whose sum is σ = 104944525218000. Its totient is φ = 12668621736960.

The previous prime is 38376542181781. The next prime is 38376542181871. The reversal of 38376542181816 is 61818124567383.

It is a happy number.

38376542181816 is a `hidden beast` number, since 3 + 8 + 3 + 7 + 6 + 542 + 1 + 8 + 1 + 81 + 6 = 666.

It is a congruent number.

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, 1692130 + ... + 8922801.

Almost surely, 238376542181816 is an apocalyptic number.

38376542181816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38376542181816 is an abundant number, since it is smaller than the sum of its proper divisors (66567983036184).

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

38376542181816 is a wasteful number, since it uses less digits than its factorization.

38376542181816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10615429 (or 10615422 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 38376542181816 in words is "thirty-eight trillion, three hundred seventy-six billion, five hundred forty-two million, one hundred eighty-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 337 447 596 674 894 1011 1192 1341 1348 1788 2022 2682 2696 3033 3576 4044 5364 6066 8088 10728 12132 24264 50213 100426 150639 200852 301278 401704 451917 602556 903834 1205112 1807668 3615336 10614931 21229862 31844793 42459724 63689586 84919448 95534379 127379172 191068758 254758344 382137516 764275032 1581624719 3163249438 3577231747 4744874157 6326498876 7154463494 9489748314 10731695241 12652997752 14234622471 14308926988 18979496628 21463390482 28469244942 28617853976 32195085723 37958993256 42926780964 56938489884 64390171446 85853561928 113876979768 128780342892 257560685784 533007530303 1066015060606 1599022590909 2132030121212 3198045181818 4264060242424 4797067772727 6396090363636 9594135545454 12792180727272 19188271090908 38376542181816