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90467100256 = 25131992813889
BaseRepresentation
bin101010001000001000…
…0100110011001100000
322122111210210212012211
41110100100212121200
52440234034202011
6105320543531504
76351600443611
oct1242020463140
9278453725184
1090467100256
1135404357465
12156492b9b94
1386b9828570
144542d6bc08
152547396b21
hex1510426660

90467100256 has 96 divisors (see below), whose sum is σ = 193507272000. Its totient is φ = 41385738240.

The previous prime is 90467100233. The next prime is 90467100257. The reversal of 90467100256 is 65200176409.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90467100257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23260360 + ... + 23264248.

It is an arithmetic number, because the mean of its divisors is an integer number (2015700750).

Almost surely, 290467100256 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 90467100256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96753636000).

90467100256 is an abundant number, since it is smaller than the sum of its proper divisors (103040171744).

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

90467100256 is a wasteful number, since it uses less digits than its factorization.

90467100256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4392 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 90467100256 in words is "ninety billion, four hundred sixty-seven million, one hundred thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 199 208 281 398 416 562 796 1124 1592 2248 2587 3184 3653 3889 4496 5174 6368 7306 7778 8992 10348 14612 15556 20696 29224 31112 41392 50557 55919 58448 62224 82784 101114 111838 116896 124448 202228 223676 404456 447352 726947 773911 808912 894704 1092809 1453894 1547822 1617824 1789408 2185618 2907788 3095644 4371236 5815576 6191288 8742472 10060843 11631152 12382576 14206517 17484944 20121686 23262304 24765152 28413034 34969888 40243372 56826068 80486744 113652136 160973488 217468991 227304272 321946976 434937982 454608544 869875964 1739751928 2827096883 3479503856 5654193766 6959007712 11308387532 22616775064 45233550128 90467100256