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138863683745208 = 23324741035367537
BaseRepresentation
bin11111100100101110111000…
…100010101011010110111000
3200012200020102212201212210200
4133210232320202223112320
5121200120311014321313
61211201032354042200
741151366351344502
oct3744567042532670
9605606385655720
10138863683745208
114027883733a544
12136a8866879360
135c63a34b04c86
1426410769a4d72
15110c26a658b73
hex7e4bb88ab5b8

138863683745208 has 48 divisors (see below), whose sum is σ = 384091040155680. Its totient is φ = 45303045759744.

The previous prime is 138863683745123. The next prime is 138863683745249. The reversal of 138863683745208 is 802547386368831.

138863683745208 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 6 + 3 + 68 + 37 + 4 + 520 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 20517680385 + ... + 20517687152.

It is an arithmetic number, because the mean of its divisors is an integer number (8001896669910).

Almost surely, 2138863683745208 is an apocalyptic number.

138863683745208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138863683745208 is an abundant number, since it is smaller than the sum of its proper divisors (245227356410472).

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

138863683745208 is a wasteful number, since it uses less digits than its factorization.

138863683745208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41035367596 (or 41035367589 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 138863683745208 in words is "one hundred thirty-eight trillion, eight hundred sixty-three billion, six hundred eighty-three million, seven hundred forty-five thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3384 41035367537 82070735074 123106102611 164141470148 246212205222 328282940296 369318307833 492424410444 738636615666 984848820888 1477273231332 1928662274239 2954546462664 3857324548478 5785986822717 7714649096956 11571973645434 15429298193912 17357960468151 23143947290868 34715920936302 46287894581736 69431841872604 138863683745208