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90874329411887 = 72127229157140591
BaseRepresentation
bin10100101010011001010100…
…000111111011000100101111
3102220202111112021010100220222
4110222121110013323010233
543402341111312140022
6521135031323201555
725066311412041500
oct2452312407730457
9386674467110828
1090874329411887
1126a5664a95617a
12a2380790762bb
133b9254932b318
1418624aba42ba7
15a78cb33c3242
hex52a6541fb12f

90874329411887 has 48 divisors (see below), whose sum is σ = 107079331921920. Its totient is φ = 76890624148800.

The previous prime is 90874329411493. The next prime is 90874329412297. The reversal of 90874329411887 is 78811492347809.

It is not a de Polignac number, because 90874329411887 - 220 = 90874328363311 is a prime.

It is a lonely number, since its distance to closest prime (90874329411493) sets a new record.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 90874329411887.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90874329416887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2238759962 + ... + 2238800552.

It is an arithmetic number, because the mean of its divisors is an integer number (2230819415040).

Almost surely, 290874329411887 is an apocalyptic number.

90874329411887 is a deficient number, since it is larger than the sum of its proper divisors (16205002510033).

90874329411887 is a wasteful number, since it uses less digits than its factorization.

90874329411887 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42532 (or 42525 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 71.

The spelling of 90874329411887 in words is "ninety trillion, eight hundred seventy-four billion, three hundred twenty-nine million, four hundred eleven thousand, eight hundred eighty-seven".

Divisors: 1 7 49 127 229 889 1571 1603 6223 10997 11221 29083 40591 76979 199517 203581 284137 359759 1396619 1425067 1988959 2518313 5155057 9295339 9776333 17628191 36085399 45689393 63768461 65067373 252597793 319825751 446379227 455471611 1180508053 2238780257 3124654589 8098594547 8263556371 14602977569 56690161829 57844894597 102220842983 396831132803 715545900881 1854578151263 12982047058841 90874329411887