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90585837357 = 3479599105239
BaseRepresentation
bin101010001011101010…
…1100010111100101101
322122211002020022220020
41110113111202330231
52441004433243412
6105340424512353
76354541625121
oct1242725427455
9278732208806
1090585837357
11354653863a4
121568101b6b9
1387082cc6c2
144554a39581
1525529ed18c
hex1517562f2d

90585837357 has 16 divisors (see below), whose sum is σ = 121236480000. Its totient is φ = 60163301744.

The previous prime is 90585837343. The next prime is 90585837389. The reversal of 90585837357 is 75373858509.

It is a cyclic number.

It is not a de Polignac number, because 90585837357 - 27 = 90585837229 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 90585837357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90585837317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 808144 + ... + 913382.

It is an arithmetic number, because the mean of its divisors is an integer number (7577280000).

Almost surely, 290585837357 is an apocalyptic number.

It is an amenable number.

90585837357 is a deficient number, since it is larger than the sum of its proper divisors (30650642643).

90585837357 is a wasteful number, since it uses less digits than its factorization.

90585837357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106320.

The product of its (nonzero) digits is 31752000, while the sum is 60.

The spelling of 90585837357 in words is "ninety billion, five hundred eighty-five million, eight hundred thirty-seven thousand, three hundred fifty-seven".

Divisors: 1 3 479 599 1437 1797 105239 286921 315717 860763 50409481 63038161 151228443 189114483 30195279119 90585837357