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90090991001 = 11251255112791
BaseRepresentation
bin101001111100111010…
…1110110110110011001
322121112121002112022102
41103321311312312121
52434001243203001
6105215350333145
76336352534304
oct1237165666631
9277477075272
1090090991001
1135231019a70
121556335a1b5
1386599302cb
144509025b3b
152524351e6b
hex14f9d76d99

90090991001 has 16 divisors (see below), whose sum is σ = 98719036416. Its totient is φ = 81536250000.

The previous prime is 90090990959. The next prime is 90090991009. The reversal of 90090991001 is 10019909009.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-90090991001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90090991009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7036916 + ... + 7049706.

It is an arithmetic number, because the mean of its divisors is an integer number (6169939776).

Almost surely, 290090991001 is an apocalyptic number.

It is an amenable number.

90090991001 is a deficient number, since it is larger than the sum of its proper divisors (8628045415).

90090991001 is a wasteful number, since it uses less digits than its factorization.

90090991001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15604.

The product of its (nonzero) digits is 6561, while the sum is 38.

The spelling of 90090991001 in words is "ninety billion, ninety million, nine hundred ninety-one thousand, one".

Divisors: 1 11 251 2551 2761 12791 28061 140701 640301 3210541 7043311 32629841 35315951 358928251 8190090091 90090991001