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90410288896 = 281747442009
BaseRepresentation
bin101010000110011011…
…1111000011100000000
322122100211220112200101
41110030313320130000
52440130013221041
6105311154132144
76350310530044
oct1241467703400
9278324815611
1090410288896
1135385284224
1215632281054
1386aab26a85
1445395c0024
1525423c3b31
hex150cdf8700

90410288896 has 72 divisors (see below), whose sum is σ = 195149183040. Its totient is φ = 41640689664.

The previous prime is 90410288869. The next prime is 90410288909. The reversal of 90410288896 is 69888201409.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16461 + ... + 425548.

It is an arithmetic number, because the mean of its divisors is an integer number (2710405320).

Almost surely, 290410288896 is an apocalyptic number.

It is an amenable number.

90410288896 is an abundant number, since it is smaller than the sum of its proper divisors (104738894144).

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

90410288896 is a wasteful number, since it uses less digits than its factorization.

90410288896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442089 (or 442075 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 55.

The spelling of 90410288896 in words is "ninety billion, four hundred ten million, two hundred eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 47 64 68 94 128 136 188 256 272 376 544 752 799 1088 1504 1598 2176 3008 3196 4352 6016 6392 12032 12784 25568 51136 102272 204544 442009 884018 1768036 3536072 7072144 7514153 14144288 15028306 20774423 28288576 30056612 41548846 56577152 60113224 83097692 113154304 120226448 166195384 240452896 332390768 353165191 480905792 664781536 706330382 961811584 1329563072 1412660764 1923623168 2659126144 2825321528 5318252288 5650643056 11301286112 22602572224 45205144448 90410288896