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90142641432 = 23321677496893
BaseRepresentation
bin101001111110011101…
…0111000110100011000
322121200012021122101100
41103330322320310120
52434103004011212
6105224433351400
76340550544534
oct1237472706430
9277605248340
1090142641432
1135258197778
1215578708560
1386675459ac
144511c2cbc4
152528b55bdc
hex14fceb8d18

90142641432 has 48 divisors (see below), whose sum is σ = 245598247440. Its totient is φ = 29867617728.

The previous prime is 90142641419. The next prime is 90142641437. The reversal of 90142641432 is 23414624109.

90142641432 is a `hidden beast` number, since 9 + 0 + 1 + 4 + 2 + 641 + 4 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90142641437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3736423 + ... + 3760470.

It is an arithmetic number, because the mean of its divisors is an integer number (5116630155).

Almost surely, 290142641432 is an apocalyptic number.

It is an amenable number.

90142641432 is an abundant number, since it is smaller than the sum of its proper divisors (155455606008).

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

90142641432 is a wasteful number, since it uses less digits than its factorization.

90142641432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7497072 (or 7497065 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 90142641432 in words is "ninety billion, one hundred forty-two million, six hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167 334 501 668 1002 1336 1503 2004 3006 4008 6012 12024 7496893 14993786 22490679 29987572 44981358 59975144 67472037 89962716 134944074 179925432 269888148 539776296 1251981131 2503962262 3755943393 5007924524 7511886786 10015849048 11267830179 15023773572 22535660358 30047547144 45071320716 90142641432