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83080002592 = 2517311607809
BaseRepresentation
bin100110101011111110…
…1000011110000100000
321221102222200102021001
41031113331003300200
52330121440040332
6102055540441344
76000541240666
oct1152775036040
9257388612231
1083080002592
113226354a674
12141273a9254
137ab027a962
144041c48c36
152263ab70e7
hex1357f43c20

83080002592 has 96 divisors (see below), whose sum is σ = 174243363840. Its totient is φ = 38858465280.

The previous prime is 83080002589. The next prime is 83080002611. The reversal of 83080002592 is 29520008038.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102694284 + ... + 102695092.

It is an arithmetic number, because the mean of its divisors is an integer number (1815035040).

Almost surely, 283080002592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83080002592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87121681920).

83080002592 is an abundant number, since it is smaller than the sum of its proper divisors (91163361248).

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

83080002592 is a wasteful number, since it uses less digits than its factorization.

83080002592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 83080002592 in words is "eighty-three billion, eighty million, two thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 311 544 607 622 809 1214 1244 1618 2428 2488 3236 4856 4976 5287 6472 9712 9952 10319 10574 12944 13753 19424 20638 21148 25888 27506 41276 42296 55012 82552 84592 110024 165104 169184 188777 220048 251599 330208 377554 440096 491063 503198 755108 982126 1006396 1510216 1964252 2012792 3020432 3209209 3928504 4025584 4277183 6040864 6418418 7857008 8051168 8348071 8554366 12836836 15714016 16696142 17108732 25673672 33392284 34217464 51347344 66784568 68434928 102694688 133569136 136869856 152720593 267138272 305441186 610882372 1221764744 2443529488 2596250081 4887058976 5192500162 10385000324 20770000648 41540001296 83080002592