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83242707337 = 1923733718493
BaseRepresentation
bin100110110000110100…
…1101110100110001001
321221212022211200012201
41031201221232212021
52330440113113322
6102124032040201
76004555223566
oct1154151564611
9257768750181
1083242707337
113233737a0a9
1214171993061
137b07ba755a
1440596bd86d
152273005d27
hex1361a6e989

83242707337 has 24 divisors (see below), whose sum is σ = 90501572616. Its totient is φ = 76498297344.

The previous prime is 83242707329. The next prime is 83242707347. The reversal of 83242707337 is 73370724238.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15921140041 + 67321567296 = 126179^2 + 259464^2 .

It is not a de Polignac number, because 83242707337 - 23 = 83242707329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83242707347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4492063 + ... + 4510555.

It is an arithmetic number, because the mean of its divisors is an integer number (3770898859).

Almost surely, 283242707337 is an apocalyptic number.

It is an amenable number.

83242707337 is a deficient number, since it is larger than the sum of its proper divisors (7258865279).

83242707337 is a wasteful number, since it uses less digits than its factorization.

83242707337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18905 (or 18886 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 46.

The spelling of 83242707337 in words is "eighty-three billion, two hundred forty-two million, seven hundred seven thousand, three hundred thirty-seven".

Divisors: 1 19 37 337 361 703 6403 12469 13357 18493 121657 236911 351367 684241 4501309 6232141 6675973 13000579 118410679 230589217 247011001 2249802901 4381195123 83242707337