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90941428944 = 24332053102539
BaseRepresentation
bin101010010110010001…
…0000001010011010000
322200201212100020212000
41110230202001103100
52442222001211234
6105440010234000
76366420251232
oct1245442012320
9280655306760
1090941428944
113562807a643
1215760125900
138763b92a22
144589d60252
152573d3d899
hex152c8814d0

90941428944 has 80 divisors (see below), whose sum is σ = 261165278400. Its totient is φ = 30298748544.

The previous prime is 90941428891. The next prime is 90941428997. The reversal of 90941428944 is 44982414909.

It is a happy number.

90941428944 is a `hidden beast` number, since 90 + 9 + 41 + 428 + 94 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (90941428891) and next prime (90941428997).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 835627 + ... + 938165.

It is an arithmetic number, because the mean of its divisors is an integer number (3264565980).

Almost surely, 290941428944 is an apocalyptic number.

It is an amenable number.

90941428944 is an abundant number, since it is smaller than the sum of its proper divisors (170223849456).

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

90941428944 is a wasteful number, since it uses less digits than its factorization.

90941428944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104609 (or 104597 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 90941428944 in words is "ninety billion, nine hundred forty-one million, four hundred twenty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 2053 4106 6159 8212 12318 16424 18477 24636 32848 36954 49272 55431 73908 98544 102539 110862 147816 205078 221724 295632 307617 410156 443448 615234 820312 886896 922851 1230468 1640624 1845702 2460936 2768553 3691404 4921872 5537106 7382808 11074212 14765616 22148424 44296848 210512567 421025134 631537701 842050268 1263075402 1684100536 1894613103 2526150804 3368201072 3789226206 5052301608 5683839309 7578452412 10104603216 11367678618 15156904824 22735357236 30313809648 45470714472 90941428944