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90257154608517 = 31319125996747043
BaseRepresentation
bin10100100001011010100001…
…101000111000110110000101
3102211120111111021211220101020
4110201122201220320312011
543312233123034433032
6515543321525221353
725003602300546441
oct2441324150706605
9384514437756336
1090257154608517
1126838931860706
12a158536561859
133b492a0405c90
1418406807b9821
15a67be084eb2c
hex5216a1a38d85

90257154608517 has 32 divisors (see below), whose sum is σ = 136529428492800. Its totient is φ = 52577760457152.

The previous prime is 90257154608503. The next prime is 90257154608557. The reversal of 90257154608517 is 71580645175209.

It is a happy number.

It is not a de Polignac number, because 90257154608517 - 27 = 90257154608389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90257154608557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47440603 + ... + 49306440.

It is an arithmetic number, because the mean of its divisors is an integer number (4266544640400).

Almost surely, 290257154608517 is an apocalyptic number.

It is an amenable number.

90257154608517 is a deficient number, since it is larger than the sum of its proper divisors (46272273884283).

90257154608517 is a wasteful number, since it uses less digits than its factorization.

90257154608517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96748337.

The product of its (nonzero) digits is 21168000, while the sum is 60.

The spelling of 90257154608517 in words is "ninety trillion, two hundred fifty-seven billion, one hundred fifty-four million, six hundred eight thousand, five hundred seventeen".

Divisors: 1 3 13 19 39 57 247 741 1259 3777 16367 23921 49101 71763 310973 932919 96747043 290241129 1257711559 1838193817 3773134677 5514581451 23896519621 71689558863 121804527137 365413581411 1583458852781 2314286015603 4750376558343 6942858046809 30085718202839 90257154608517