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83072640084 = 22372934102069
BaseRepresentation
bin100110101011110000…
…0111110010001010100
321221102110211100210120
41031113200332101110
52330113043440314
6102055114551540
76000421534650
oct1152740762124
9257373740716
1083072640084
113225a381055
1214124a385b0
137aab8a0745
144040c8da60
1522631108a9
hex135783e454

83072640084 has 48 divisors (see below), whose sum is σ = 229165910400. Its totient is φ = 22916589696.

The previous prime is 83072640071. The next prime is 83072640089. The reversal of 83072640084 is 48004627038.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83072640089) 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, 17048599 + ... + 17053470.

It is an arithmetic number, because the mean of its divisors is an integer number (4774289800).

Almost surely, 283072640084 is an apocalyptic number.

83072640084 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

83072640084 is an abundant number, since it is smaller than the sum of its proper divisors (146093270316).

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

83072640084 is a wasteful number, since it uses less digits than its factorization.

83072640084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34102112 (or 34102110 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 83072640084 in words is "eighty-three billion, seventy-two million, six hundred forty thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 2436 34102069 68204138 102306207 136408276 204612414 238714483 409224828 477428966 716143449 954857932 988960001 1432286898 1977920002 2864573796 2966880003 3955840004 5933760006 6922720007 11867520012 13845440014 20768160021 27690880028 41536320042 83072640084