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89765420131 = 4115154126801
BaseRepresentation
bin101001110011001101…
…1111001110001100011
322120200220110211001001
41103212123321301203
52432314421421011
6105123200252431
76325320324142
oct1234633716143
9276626424031
1089765420131
113508426a832
1215492311117
13860734b51a
1444b7ab7759
1525059917c1
hex14e66f9c63

89765420131 has 16 divisors (see below), whose sum is σ = 92738350656. Its totient is φ = 86832000000.

The previous prime is 89765420083. The next prime is 89765420159. The reversal of 89765420131 is 13102456798.

It is a 10-Lehmer number, since φ(89765420131) divides (89765420131-1)10.

It is a cyclic number.

It is not a de Polignac number, because 89765420131 - 215 = 89765387363 is a prime.

It is a super-2 number, since 2×897654201312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89765423131) 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, 3335931 + ... + 3362731.

It is an arithmetic number, because the mean of its divisors is an integer number (5796146916).

It is a 2-persistent number, because it is pandigital, and so is 2⋅89765420131 = 179530840262, but 3⋅89765420131 = 269296260393 is not.

Almost surely, 289765420131 is an apocalyptic number.

89765420131 is a deficient number, since it is larger than the sum of its proper divisors (2972930525).

89765420131 is a wasteful number, since it uses less digits than its factorization.

89765420131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27534.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 89765420131 in words is "eighty-nine billion, seven hundred sixty-five million, four hundred twenty thousand, one hundred thirty-one".

Divisors: 1 41 151 541 6191 22181 26801 81691 1098841 3349331 4046951 14499341 165924991 594472981 2189400491 89765420131