Search a number
-
+
90913122300 = 22352711131312311
BaseRepresentation
bin101010010101011011…
…0000010011111111100
322200122220002010102210
41110222312002133330
52442142224403200
6105433115420420
76365624534460
oct1245266023774
9280586063383
1090913122300
11356130a6420
1215752754710
13875b061730
1445862b24a0
1525715eb650
hex152ad827fc

90913122300 has 576 divisors, whose sum is σ = 356025212928. Its totient is φ = 17297280000.

The previous prime is 90913122277. The next prime is 90913122329. The reversal of 90913122300 is 322131909.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39338145 + ... + 39340455.

It is an arithmetic number, because the mean of its divisors is an integer number (618099328).

Almost surely, 290913122300 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 90913122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178012606464).

90913122300 is an abundant number, since it is smaller than the sum of its proper divisors (265112090628).

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

90913122300 is a wasteful number, since it uses less digits than its factorization.

90913122300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The spelling of 90913122300 in words is "ninety billion, nine hundred thirteen million, one hundred twenty-two thousand, three hundred".