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83106427365753 = 3115737438970993
BaseRepresentation
bin10010111001010110111001…
…000101001110100101111001
3101220020220012210222122121020
4102321112321011032211321
541343103430401201003
6452430322103533053
723335145513060541
oct2271267105164571
9356226183878536
1083106427365753
1124531268738a40
1293a26ba45a189
13374ab96970b4c
1416745303a6321
15991bc77bbd53
hex4b95b914e979

83106427365753 has 16 divisors (see below), whose sum is σ = 120903147051456. Its totient is φ = 50358752202240.

The previous prime is 83106427365683. The next prime is 83106427365761. The reversal of 83106427365753 is 35756372460138.

It is not a de Polignac number, because 83106427365753 - 210 = 83106427364729 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83106427865753) 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, 219296176 + ... + 219674817.

It is an arithmetic number, because the mean of its divisors is an integer number (7556446690716).

Almost surely, 283106427365753 is an apocalyptic number.

It is an amenable number.

83106427365753 is a deficient number, since it is larger than the sum of its proper divisors (37796719685703).

83106427365753 is a wasteful number, since it uses less digits than its factorization.

83106427365753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438976744.

The product of its (nonzero) digits is 76204800, while the sum is 60.

The spelling of 83106427365753 in words is "eighty-three trillion, one hundred six billion, four hundred twenty-seven million, three hundred sixty-five thousand, seven hundred fifty-three".

Divisors: 1 3 11 33 5737 17211 63107 189321 438970993 1316912979 4828680923 14486042769 2518376586841 7555129760523 27702142455251 83106427365753