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72142937136 = 24321134433563
BaseRepresentation
bin100001100110000001…
…1011101110000110000
320220012202122220222200
41003030003131300300
52140222042442021
653050401303200
75132524563534
oct1031403356060
9226182586880
1072142937136
11286608974a6
1211b94634b00
136a593b9baa
1436c547bbc4
151d2380a126
hex10cc0ddc30

72142937136 has 60 divisors (see below), whose sum is σ = 203686797288. Its totient is φ = 23834829312.

The previous prime is 72142937131. The next prime is 72142937171. The reversal of 72142937136 is 63173924127.

It is a junction number, because it is equal to n+sod(n) for n = 72142937091 and 72142937100.

It is not an unprimeable number, because it can be changed into a prime (72142937131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2200510 + ... + 2233053.

Almost surely, 272142937136 is an apocalyptic number.

It is an amenable number.

72142937136 is an abundant number, since it is smaller than the sum of its proper divisors (131543860152).

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

72142937136 is a wasteful number, since it uses less digits than its factorization.

72142937136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4433690 (or 4433681 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The spelling of 72142937136 in words is "seventy-two billion, one hundred forty-two million, nine hundred thirty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 8136 16272 4433563 8867126 13300689 17734252 26601378 35468504 39902067 53202756 70937008 79804134 106405512 159608268 212811024 319216536 500992619 638433072 1001985238 1502977857 2003970476 3005955714 4007940952 4508933571 6011911428 8015881904 9017867142 12023822856 18035734284 24047645712 36071468568 72142937136