Search a number
-
+
90237842944 = 29487361901
BaseRepresentation
bin101010000001010011…
…0000011011000000000
322121220211102101022021
41110002212003120000
52434301341433234
6105242114051224
76343115003134
oct1240246033000
9277824371267
1090237842944
11352a6a01007
12155a4579b14
138681199352
1445207313c4
1525321ad9b4
hex1502983600

90237842944 has 40 divisors (see below), whose sum is σ = 180670164048. Its totient is φ = 45026150400.

The previous prime is 90237842939. The next prime is 90237842951. The reversal of 90237842944 is 44924873209.

It is a junction number, because it is equal to n+sod(n) for n = 90237842891 and 90237842900.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 68394 + ... + 430294.

Almost surely, 290237842944 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 90237842944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90335082024).

90237842944 is an abundant number, since it is smaller than the sum of its proper divisors (90432321104).

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

90237842944 is an equidigital number, since it uses as much as digits as its factorization.

90237842944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362406 (or 362390 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 90237842944 in words is "ninety billion, two hundred thirty-seven million, eight hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 487 512 974 1948 3896 7792 15584 31168 62336 124672 249344 361901 723802 1447604 2895208 5790416 11580832 23161664 46323328 92646656 176245787 185293312 352491574 704983148 1409966296 2819932592 5639865184 11279730368 22559460736 45118921472 90237842944