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90490953217 = 7311524127361
BaseRepresentation
bin101010001000110101…
…1100101111000000001
322122120110200201022211
41110101223211320001
52440311141000332
6105323155102121
76352310261020
oct1242153457001
9278513621284
1090490953217
1135416869555
12156552a1941
1386c175a642
1445461ba8b7
152549509447
hex1511ae5e01

90490953217 has 16 divisors (see below), whose sum is σ = 106765210624. Its totient is φ = 75053952000.

The previous prime is 90490953173. The next prime is 90490953253. The reversal of 90490953217 is 71235909409.

It is a cyclic number.

It is not a de Polignac number, because 90490953217 - 219 = 90490428929 is a prime.

It is a super-2 number, since 2×904909532172 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90490953517) 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, 3293617 + ... + 3320977.

It is an arithmetic number, because the mean of its divisors is an integer number (6672825664).

Almost surely, 290490953217 is an apocalyptic number.

It is an amenable number.

90490953217 is a deficient number, since it is larger than the sum of its proper divisors (16274257407).

90490953217 is a wasteful number, since it uses less digits than its factorization.

90490953217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42640.

The product of its (nonzero) digits is 612360, while the sum is 49.

The spelling of 90490953217 in words is "ninety billion, four hundred ninety million, nine hundred fifty-three thousand, two hundred seventeen".

Divisors: 1 7 31 217 15241 27361 106687 191527 472471 848191 3307297 5937337 417009001 2919063007 12927279031 90490953217