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90998826464 = 25713261711941
BaseRepresentation
bin101010010111111110…
…0111110010111100000
322200212212100100110002
41110233330332113200
52442331144421324
6105445420355132
76401015156030
oct1245774762740
9280785310402
1090998826464
1135657513207
12157773a5aa8
138772a3b260
1445938218c0
152578dca3ae
hex152ff3e5e0

90998826464 has 96 divisors (see below), whose sum is σ = 220599884736. Its totient is φ = 35982766080.

The previous prime is 90998826439. The next prime is 90998826521. The reversal of 90998826464 is 46462889909.

It is a self number, because there is not a number n which added to its sum of digits gives 90998826464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7614734 + ... + 7626674.

It is an arithmetic number, because the mean of its divisors is an integer number (2297915466).

Almost surely, 290998826464 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 90998826464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110299942368).

90998826464 is an abundant number, since it is smaller than the sum of its proper divisors (129601058272).

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

90998826464 is a wasteful number, since it uses less digits than its factorization.

90998826464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14588 (or 14580 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 65.

The spelling of 90998826464 in words is "ninety billion, nine hundred ninety-eight million, eight hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2617 2912 5234 10468 11941 18319 20936 23882 34021 36638 41872 47764 68042 73276 83587 83744 95528 136084 146552 155233 167174 191056 238147 272168 293104 310466 334348 382112 476294 544336 586208 620932 668696 952588 1086631 1088672 1241864 1337392 1905176 2173262 2483728 2674784 3810352 4346524 4967456 7620704 8693048 17386096 31249597 34772192 62499194 124998388 218747179 249996776 406244761 437494358 499993552 812489522 874988716 999987104 1624979044 1749977432 2843713327 3249958088 3499954864 5687426654 6499916176 6999909728 11374853308 12999832352 22749706616 45499413232 90998826464