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38465769144 = 233111271147273
BaseRepresentation
bin100011110100101111…
…010000111010111000
310200021202010112102110
4203310233100322320
51112234214103034
625400530532320
72531134433355
oct436457207270
9120252115373
1038465769144
1115349a18760
1275561370a0
13382026665a
141c0c91762c
151001e79de9
hex8f4bd0eb8

38465769144 has 64 divisors (see below), whose sum is σ = 105732771840. Its totient is φ = 11564501760.

The previous prime is 38465769113. The next prime is 38465769161. The reversal of 38465769144 is 44196756483.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540109 + ... + 607164.

It is an arithmetic number, because the mean of its divisors is an integer number (1652074560).

Almost surely, 238465769144 is an apocalyptic number.

It is an amenable number.

38465769144 is an abundant number, since it is smaller than the sum of its proper divisors (67267002696).

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

38465769144 is a wasteful number, since it uses less digits than its factorization.

38465769144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147420 (or 1147416 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 57.

The spelling of 38465769144 in words is "thirty-eight billion, four hundred sixty-five million, seven hundred sixty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 127 132 254 264 381 508 762 1016 1397 1524 2794 3048 4191 5588 8382 11176 16764 33528 1147273 2294546 3441819 4589092 6883638 9178184 12620003 13767276 25240006 27534552 37860009 50480012 75720018 100960024 145703671 151440036 291407342 302880072 437111013 582814684 874222026 1165629368 1602740381 1748444052 3205480762 3496888104 4808221143 6410961524 9616442286 12821923048 19232884572 38465769144