Search a number
-
+
90211623372 = 2233133380197
BaseRepresentation
bin101010000000100001…
…0000010000111001100
322121212000002021211000
41110001002002013030
52434223133421442
6105235340100300
76342346101213
oct1240102020714
9277760067730
1090211623372
1135293122942
1215597834690
138678919000
14451b06807a
15252ec2ed4c
hex15010821cc

90211623372 has 96 divisors (see below), whose sum is σ = 253363947200. Its totient is φ = 27757349568.

The previous prime is 90211623367. The next prime is 90211623389. The reversal of 90211623372 is 27332611209.

90211623372 is a `hidden beast` number, since 9 + 0 + 21 + 1 + 623 + 3 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47178 + ... + 427374.

Almost surely, 290211623372 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 90211623372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126681973600).

90211623372 is an abundant number, since it is smaller than the sum of its proper divisors (163152323828).

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

90211623372 is a wasteful number, since it uses less digits than its factorization.

90211623372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380249 (or 380215 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 90211623372 in words is "ninety billion, two hundred eleven million, six hundred twenty-three thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 1014 1404 1521 2028 2197 3042 4394 4563 6084 6591 8788 9126 13182 18252 19773 26364 39546 59319 79092 118638 237276 380197 760394 1140591 1520788 2281182 3421773 4562364 4942561 6843546 9885122 10265319 13687092 14827683 19770244 20530638 29655366 41061276 44483049 59310732 64253293 88966098 128506586 133449147 177932196 192759879 257013172 266898294 385519758 533796588 578279637 771039516 835292809 1156559274 1670585618 1734838911 2313118548 2505878427 3341171236 3469677822 5011756854 6939355644 7517635281 10023513708 15035270562 22552905843 30070541124 45105811686 90211623372