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71200202392 = 23117124474657
BaseRepresentation
bin100001001001111011…
…1001101111010011000
320210210001202001001001
41002103313031322120
52131304222434032
652413043234344
75100256506664
oct1022367157230
9223701661031
1071200202392
1128217726980
12119709789b4
136938cacc97
1436361998a4
151cbab8b3e7
hex1093dcde98

71200202392 has 64 divisors (see below), whose sum is σ = 147780080640. Its totient is φ = 31888012800.

The previous prime is 71200202377. The next prime is 71200202429. The reversal of 71200202392 is 29320200217.

It is a self number, because there is not a number n which added to its sum of digits gives 71200202392.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15286528 + ... + 15291184.

It is an arithmetic number, because the mean of its divisors is an integer number (2309063760).

Almost surely, 271200202392 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 71200202392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73890040320).

71200202392 is an abundant number, since it is smaller than the sum of its proper divisors (76579878248).

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

71200202392 is a wasteful number, since it uses less digits than its factorization.

71200202392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7192 (or 7188 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 71200202392 in words is "seventy-one billion, two hundred million, two hundred two thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 22 44 71 88 142 284 568 781 1562 2447 3124 4657 4894 6248 9314 9788 18628 19576 26917 37256 51227 53834 102454 107668 173737 204908 215336 330647 347474 409816 661294 694948 1322588 1389896 1911107 2645176 3637117 3822214 7274234 7644428 11395679 14548468 15288856 22791358 29096936 45582716 91165432 125352469 250704938 501409876 809093209 1002819752 1618186418 3236372836 6472745672 8900025299 17800050598 35600101196 71200202392