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137624701848 = 233269118717959
BaseRepresentation
bin1000000000101100010…
…0100100101110011000
3111011020022011020020120
42000023010210232120
54223323410424343
6143120210553240
712641316443544
oct2001304445630
9434208136216
10137624701848
1153403613517
122280a298820
13cc9374492a
146937d9ca24
1538a7429683
hex200b124b98

137624701848 has 64 divisors (see below), whose sum is σ = 345650976000. Its totient is φ = 45663315072.

The previous prime is 137624701831. The next prime is 137624701873. The reversal of 137624701848 is 848107426731.

It is a self number, because there is not a number n which added to its sum of digits gives 137624701848.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7654293 + ... + 7672251.

It is an arithmetic number, because the mean of its divisors is an integer number (5400796500).

Almost surely, 2137624701848 is an apocalyptic number.

It is an amenable number.

137624701848 is an abundant number, since it is smaller than the sum of its proper divisors (208026274152).

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

137624701848 is a wasteful number, since it uses less digits than its factorization.

137624701848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19424 (or 19420 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 137624701848 in words is "one hundred thirty-seven billion, six hundred twenty-four million, seven hundred one thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 269 538 807 1076 1187 1614 2152 2374 3228 3561 4748 6456 7122 9496 14244 17959 28488 35918 53877 71836 107754 143672 215508 319303 431016 638606 957909 1277212 1915818 2554424 3831636 4830971 7663272 9661942 14492913 19323884 21317333 28985826 38647768 42634666 57971652 63951999 85269332 115943304 127903998 170538664 255807996 511615992 5734362577 11468725154 17203087731 22937450308 34406175462 45874900616 68812350924 137624701848