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91061610660 = 223252917444753
BaseRepresentation
bin101010011001110110…
…0011110100010100100
322201001020111010011200
41110303230132202210
52442443233020120
6105455542202500
76402406630236
oct1246354364244
9281036433150
1091061610660
11356899a5979
1215794423430
138782a51577
14459bcc6256
15257e67ce90
hex1533b1e8a4

91061610660 has 72 divisors (see below), whose sum is σ = 285745070520. Its totient is φ = 23445746688.

The previous prime is 91061610617. The next prime is 91061610667. The reversal of 91061610660 is 6601616019.

It can be written as a sum of positive squares in 4 ways, for example, as 23350284864 + 67711325796 = 152808^2 + 260214^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (91061610667) 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, 8717157 + ... + 8727596.

It is an arithmetic number, because the mean of its divisors is an integer number (3968681535).

Almost surely, 291061610660 is an apocalyptic number.

91061610660 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

91061610660 is an abundant number, since it is smaller than the sum of its proper divisors (194683459860).

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

91061610660 is a wasteful number, since it uses less digits than its factorization.

91061610660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17444797 (or 17444792 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 91061610660 in words is "ninety-one billion, sixty-one million, six hundred ten thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 17444753 34889506 52334259 69779012 87223765 104668518 157002777 174447530 209337036 261671295 314005554 348895060 505897837 523342590 628011108 785013885 1011795674 1046685180 1517693511 1570027770 2023591348 2529489185 3035387022 3140055540 4553080533 5058978370 6070774044 7588467555 9106161066 10117956740 15176935110 18212322132 22765402665 30353870220 45530805330 91061610660