Search a number
-
+
90365243072 = 2613691157181
BaseRepresentation
bin101010000101000110…
…0000010111011000000
322122020201010222102112
41110022030002323000
52440032000234242
6105302504434452
76346222615106
oct1241214027300
9278221128375
1090365243072
1135361907675
121561b178a28
1386a16b4640
144533615c76
15253d476c82
hex150a302ec0

90365243072 has 56 divisors (see below), whose sum is σ = 193392960432. Its totient is φ = 41646412800.

The previous prime is 90365243041. The next prime is 90365243081. The reversal of 90365243072 is 27034256309.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 496322 + ... + 653502.

It is an arithmetic number, because the mean of its divisors is an integer number (3453445722).

Almost surely, 290365243072 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 90365243072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96696480216).

90365243072 is an abundant number, since it is smaller than the sum of its proper divisors (103027717360).

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

90365243072 is a wasteful number, since it uses less digits than its factorization.

90365243072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157897 (or 157887 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 41.

The spelling of 90365243072 in words is "ninety billion, three hundred sixty-five million, two hundred forty-three thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 691 832 1382 2764 5528 8983 11056 17966 22112 35932 44224 71864 143728 157181 287456 314362 574912 628724 1257448 2043353 2514896 4086706 5029792 8173412 10059584 16346824 32693648 65387296 108612071 130774592 217224142 434448284 868896568 1411956923 1737793136 2823913846 3475586272 5647827692 6951172544 11295655384 22591310768 45182621536 90365243072