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89123444761 = 13193143326881
BaseRepresentation
bin101001100000000101…
…0111101100000011001
322112001011111002101111
41103000022331200121
52430011100213021
6104535344420321
76303363531631
oct1230012754031
9275034432344
1089123444761
113488495217a
12153333176a1
138534346c40
1444567256c1
1524b94318e1
hex14c02bd819

89123444761 has 32 divisors (see below), whose sum is σ = 104534420480. Its totient is φ = 75246796800.

The previous prime is 89123444743. The next prime is 89123444771. The reversal of 89123444761 is 16744432198.

It is a happy number.

It is a 8-Lehmer number, since φ(89123444761) divides (89123444761-1)8.

It is a cyclic number.

It is not a de Polignac number, because 89123444761 - 223 = 89115056153 is a prime.

It is the 298536-th Hogben number.

It is not an unprimeable number, because it can be changed into a prime (89123444771) by changing a digit.

It is a nontrivial repunit in base 298535.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3302041 + ... + 3328921.

It is an arithmetic number, because the mean of its divisors is an integer number (3266700640).

Almost surely, 289123444761 is an apocalyptic number.

It is an amenable number.

89123444761 is a deficient number, since it is larger than the sum of its proper divisors (15410975719).

89123444761 is a wasteful number, since it uses less digits than its factorization.

89123444761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27377.

The product of its digits is 1161216, while the sum is 49.

The spelling of 89123444761 in words is "eighty-nine billion, one hundred twenty-three million, four hundred forty-four thousand, seven hundred sixty-one".

Divisors: 1 13 19 31 247 403 433 589 5629 7657 8227 13423 26881 106951 174499 255037 349453 510739 833311 3315481 6639607 10833043 11639473 15832909 151313149 205827817 221149987 360823663 2874949831 4690707619 6855649597 89123444761