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90660342969 = 3272712895479
BaseRepresentation
bin101010001101111000…
…1110000110010111001
322200000021102121101100
41110123301300302321
52441133021433334
6105352045442013
76356435125500
oct1243361606271
9280007377340
1090660342969
11354a3444589
12156a1b70309
13871a887c71
1445608b1837
152559318c99
hex151bc70cb9

90660342969 has 36 divisors (see below), whose sum is σ = 154479648960. Its totient is φ = 51076231920.

The previous prime is 90660342961. The next prime is 90660343003. The reversal of 90660342969 is 96924306609.

90660342969 is a `hidden beast` number, since 9 + 0 + 6 + 603 + 4 + 29 + 6 + 9 = 666.

It is not a de Polignac number, because 90660342969 - 23 = 90660342961 is a prime.

It is a super-2 number, since 2×906603429692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90660342961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1416429 + ... + 1479050.

It is an arithmetic number, because the mean of its divisors is an integer number (4291101360).

Almost surely, 290660342969 is an apocalyptic number.

It is an amenable number.

90660342969 is a deficient number, since it is larger than the sum of its proper divisors (63819305991).

90660342969 is a wasteful number, since it uses less digits than its factorization.

90660342969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895570 (or 2895560 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 90660342969 in words is "ninety billion, six hundred sixty million, three hundred forty-two thousand, nine hundred sixty-nine".

Divisors: 1 3 7 9 21 49 63 71 147 213 441 497 639 1491 3479 4473 10437 31311 2895479 8686437 20268353 26059311 60805059 141878471 182415177 205579009 425635413 616737027 1276906239 1439053063 1850211081 4317159189 10073371441 12951477567 30220114323 90660342969