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90252385334681 = 257433811031401
BaseRepresentation
bin10100100001010110000101…
…010111100011010110011001
3102211120001011220121200121112
4110201112011113203112121
543312143341121202211
6515541212355150105
725003343146441133
oct2441260527432631
9384501156550545
1090252385334681
1126836904712689
12a1576252a5335
133b489c02cc05b
14184034b218053
15a67a11cc188b
hex5215855e3599

90252385334681 has 8 divisors (see below), whose sum is σ = 90812808144744. Its totient is φ = 89693584588800.

The previous prime is 90252385334647. The next prime is 90252385334849. The reversal of 90252385334681 is 18643358325209.

It can be written as a sum of positive squares in 4 ways, for example, as 11122625203600 + 79129760131081 = 3335060^2 + 8895491^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 90252385334681 - 214 = 90252385318297 is a prime.

It is a super-3 number, since 3×902523853346813 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 90252385334681.

It is not an unprimeable number, because it can be changed into a prime (90252385334981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 405404420 + ... + 405626981.

It is an arithmetic number, because the mean of its divisors is an integer number (11351601018093).

Almost surely, 290252385334681 is an apocalyptic number.

It is an amenable number.

90252385334681 is a deficient number, since it is larger than the sum of its proper divisors (560422810063).

90252385334681 is a wasteful number, since it uses less digits than its factorization.

90252385334681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811032091.

The product of its (nonzero) digits is 37324800, while the sum is 59.

The spelling of 90252385334681 in words is "ninety trillion, two hundred fifty-two billion, three hundred eighty-five million, three hundred thirty-four thousand, six hundred eighty-one".

Divisors: 1 257 433 111281 811031401 208435070057 351176596633 90252385334681