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83164589203976 = 23731316012963567
BaseRepresentation
bin10010111010001101000011…
…110011000010001000001000
3101220110110100012202011102122
4102322031003303002020020
541400032034314011401
6452513141305550412
723342305022410160
oct2272150363021010
9356413305664378
1083164589203976
11245539a4566935
1293b1a307a5408
133753505639037
14167728aa8b5a0
1599347d97921b
hex4ba343cc2208

83164589203976 has 64 divisors (see below), whose sum is σ = 178890922068480. Its totient is φ = 35505891532800.

The previous prime is 83164589203921. The next prime is 83164589203979. The reversal of 83164589203976 is 67930298546138.

It is not an unprimeable number, because it can be changed into a prime (83164589203979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26580545 + ... + 29544111.

It is an arithmetic number, because the mean of its divisors is an integer number (2795170657320).

It is a 2-persistent number, because it is pandigital, and so is 2⋅83164589203976 = 166329178407952, but 3⋅83164589203976 = 249493767611928 is not.

Almost surely, 283164589203976 is an apocalyptic number.

It is an amenable number.

83164589203976 is an abundant number, since it is smaller than the sum of its proper divisors (95726332864504).

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

83164589203976 is a wasteful number, since it uses less digits than its factorization.

83164589203976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965494 (or 2965490 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 71.

The spelling of 83164589203976 in words is "eighty-three trillion, one hundred sixty-four billion, five hundred eighty-nine million, two hundred three thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 56 313 626 1252 1601 2191 2504 3202 4382 6404 8764 11207 12808 17528 22414 44828 89656 501113 1002226 2004452 2963567 3507791 4008904 5927134 7015582 11854268 14031164 20744969 23708536 28062328 41489938 82979876 165959752 927596471 1855192942 3710385884 4744670767 6493175297 7420771768 9489341534 12986350594 18978683068 25972701188 33212695369 37957366136 51945402376 66425390738 132850781476 265701562952 1485081950071 2970163900142 5940327800284 10395573650497 11880655600568 20791147300994 41582294601988 83164589203976