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90989303296 = 293138914737
BaseRepresentation
bin101010010111101100…
…0101001011000000000
322200212012102112010011
41110233120221120000
52442321230201141
6105444440314304
76400541213503
oct1245730513000
9280765375104
1090989303296
11356520a9321
1215774172994
138770a85748
14459246313a
152578148881
hex152f629600

90989303296 has 80 divisors (see below), whose sum is σ = 188160635520. Its totient is φ = 43910922240.

The previous prime is 90989303263. The next prime is 90989303299. The reversal of 90989303296 is 69230398909.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 90989303296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90989303299) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6166840 + ... + 6181576.

It is an arithmetic number, because the mean of its divisors is an integer number (2352007944).

Almost surely, 290989303296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90989303296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94080317760).

90989303296 is an abundant number, since it is smaller than the sum of its proper divisors (97171332224).

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

90989303296 is a wasteful number, since it uses less digits than its factorization.

90989303296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15175 (or 15159 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 58.

The spelling of 90989303296 in words is "ninety billion, nine hundred eighty-nine million, three hundred three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 389 496 512 778 992 1556 1984 3112 3968 6224 7936 12059 12448 14737 15872 24118 24896 29474 48236 49792 58948 96472 99584 117896 192944 199168 235792 385888 456847 471584 771776 913694 943168 1543552 1827388 1886336 3087104 3654776 3772672 5732693 6174208 7309552 7545344 11465386 14619104 22930772 29238208 45861544 58476416 91723088 116952832 177713483 183446176 233905664 355426966 366892352 710853932 733784704 1421707864 1467569408 2843415728 2935138816 5686831456 11373662912 22747325824 45494651648 90989303296