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72142936536 = 2331132258419
BaseRepresentation
bin100001100110000001…
…1011101100111011000
320220012202122220011110
41003030003131213120
52140222042432121
653050401300320
75132524562016
oct1031403354730
9226182586143
1072142936536
1128660897000
1211b946346a0
136a593b9838
1436c547b8b6
151d23809d76
hex10cc0dd9d8

72142936536 has 64 divisors (see below), whose sum is σ = 198379612800. Its totient is φ = 21861486240.

The previous prime is 72142936529. The next prime is 72142936561. The reversal of 72142936536 is 63563924127.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1097266 + ... + 1161153.

It is an arithmetic number, because the mean of its divisors is an integer number (3099681450).

Almost surely, 272142936536 is an apocalyptic number.

It is an amenable number.

72142936536 is an abundant number, since it is smaller than the sum of its proper divisors (126236676264).

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

72142936536 is a wasteful number, since it uses less digits than its factorization.

72142936536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258461 (or 2258435 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 48.

The spelling of 72142936536 in words is "seventy-two billion, one hundred forty-two million, nine hundred thirty-six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1331 1452 2662 2904 3993 5324 7986 10648 15972 31944 2258419 4516838 6775257 9033676 13550514 18067352 24842609 27101028 49685218 54202056 74527827 99370436 149055654 198740872 273268699 298111308 546537398 596222616 819806097 1093074796 1639612194 2186149592 3005955689 3279224388 6011911378 6558448776 9017867067 12023822756 18035734134 24047645512 36071468268 72142936536