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3872134107036 = 2232138273790827
BaseRepresentation
bin111000010110001101001…
…011011000111110011100
3111201011122200110022210200
4320112031023120332130
51001420112312411121
612122500040103500
7546516043565136
oct70261513307634
914634580408720
103872134107036
111263187836768
12526541a64b90
132211aa0c4240
14d55ab47c056
156aaca699a26
hex3858d2d8f9c

3872134107036 has 36 divisors (see below), whose sum is σ = 10540809514872. Its totient is φ = 1191425878944.

The previous prime is 3872134107001. The next prime is 3872134107041. The reversal of 3872134107036 is 6307014312783.

3872134107036 is a `hidden beast` number, since 387 + 2 + 134 + 107 + 0 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×38721341070362 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3872134106982 and 3872134107000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4136894946 + ... + 4136895881.

It is an arithmetic number, because the mean of its divisors is an integer number (292800264302).

Almost surely, 23872134107036 is an apocalyptic number.

3872134107036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3872134107036 is an abundant number, since it is smaller than the sum of its proper divisors (6668675407836).

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

3872134107036 is a wasteful number, since it uses less digits than its factorization.

3872134107036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8273790850 (or 8273790845 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 3872134107036 in words is "three trillion, eight hundred seventy-two billion, one hundred thirty-four million, one hundred seven thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 8273790827 16547581654 24821372481 33095163308 49642744962 74464117443 99285489924 107559280751 148928234886 215118561502 297856469772 322677842253 430237123004 645355684506 968033526759 1290711369012 1936067053518 3872134107036