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90357649212 = 2231719231013569
BaseRepresentation
bin101010000100110111…
…1000100111100111100
322122020011212011121110
41110021233010330330
52440023024233322
6105302034002020
76346101226425
oct1241157047474
9278204764543
1090357649212
11353585a0256
1215618716310
13869cc5602c
1445325da64c
15253c976c0c
hex1509bc4f3c

90357649212 has 96 divisors (see below), whose sum is σ = 245202854400. Its totient is φ = 25687867392.

The previous prime is 90357649201. The next prime is 90357649219. The reversal of 90357649212 is 21294675309.

It is a super-2 number, since 2×903576492122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90357649219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417637 + ... + 595932.

It is an arithmetic number, because the mean of its divisors is an integer number (2554196400).

Almost surely, 290357649212 is an apocalyptic number.

90357649212 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

90357649212 is an abundant number, since it is smaller than the sum of its proper divisors (154845205188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90357649212 is a wasteful number, since it uses less digits than its factorization.

90357649212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013635 (or 1013633 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 90357649212 in words is "ninety billion, three hundred fifty-seven million, six hundred forty-nine thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 19 23 34 38 46 51 57 68 69 76 92 102 114 138 204 228 276 323 391 437 646 782 874 969 1173 1292 1311 1564 1748 1938 2346 2622 3876 4692 5244 7429 14858 22287 29716 44574 89148 1013569 2027138 3040707 4054276 6081414 12162828 17230673 19257811 23312087 34461346 38515622 46624174 51692019 57773433 68922692 69936261 77031244 93248348 103384038 115546866 139872522 206768076 231093732 279745044 327382787 396305479 442929653 654765574 792610958 885859306 982148361 1188916437 1309531148 1328788959 1585221916 1771718612 1964296722 2377832874 2657577918 3928593444 4755665748 5315155836 7529804101 15059608202 22589412303 30119216404 45178824606 90357649212