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90212672745 = 32513154209697
BaseRepresentation
bin101010000000100011…
…0000010010011101001
322121212002001121021200
41110001012002103221
52434223421011440
6105235414354413
76342361031466
oct1240106022351
9277762047250
1090212672745
113529377a298
121559805ba09
138678bc5840
14451b25c66d
15252ed8ac30
hex15011824e9

90212672745 has 24 divisors (see below), whose sum is σ = 168396990216. Its totient is φ = 44412392448.

The previous prime is 90212672729. The next prime is 90212672773. The reversal of 90212672745 is 54727621209.

It can be written as a sum of positive squares in 4 ways, for example, as 714172176 + 89498500569 = 26724^2 + 299163^2 .

It is not a de Polignac number, because 90212672745 - 24 = 90212672729 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 90212672745.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77104264 + ... + 77105433.

It is an arithmetic number, because the mean of its divisors is an integer number (7016541259).

Almost surely, 290212672745 is an apocalyptic number.

It is an amenable number.

90212672745 is a deficient number, since it is larger than the sum of its proper divisors (78184317471).

90212672745 is a wasteful number, since it uses less digits than its factorization.

90212672745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154209721 (or 154209718 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 90212672745 in words is "ninety billion, two hundred twelve million, six hundred seventy-two thousand, seven hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 154209697 462629091 771048485 1387887273 2004726061 2313145455 6014178183 6939436365 10023630305 18042534549 30070890915 90212672745