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90291468897 = 3272362312953
BaseRepresentation
bin101010000010111001…
…0100111101001100001
322122001120022212021200
41110011302213221201
52434404104001042
6105251311311413
76344335552050
oct1240562475141
9278046285250
1090291468897
11353241a8a83
12155ba51b569
13868c323c96
1445278d0397
152536c52c4c
hex1505ca7a61

90291468897 has 24 divisors (see below), whose sum is σ = 155533133184. Its totient is φ = 49351857984.

The previous prime is 90291468889. The next prime is 90291468931. The reversal of 90291468897 is 79886419209.

90291468897 is a `hidden beast` number, since 9 + 0 + 2 + 91 + 468 + 89 + 7 = 666.

It is not a de Polignac number, because 90291468897 - 23 = 90291468889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (90291468997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31155028 + ... + 31157925.

It is an arithmetic number, because the mean of its divisors is an integer number (6480547216).

Almost surely, 290291468897 is an apocalyptic number.

It is an amenable number.

90291468897 is a deficient number, since it is larger than the sum of its proper divisors (65241664287).

90291468897 is a wasteful number, since it uses less digits than its factorization.

90291468897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62312989 (or 62312986 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 90291468897 in words is "ninety billion, two hundred ninety-one million, four hundred sixty-eight thousand, eight hundred ninety-seven".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 62312953 186938859 436190671 560816577 1308572013 1433197919 3925716039 4299593757 10032385433 12898781271 30097156299 90291468897