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90797491200 = 21035213199457
BaseRepresentation
bin101010010001111110…
…0111100010000000000
322200100211111110101110
41110203330330100000
52441423124204300
6105413425203320
76363021640533
oct1244374742000
9280324443343
1090797491200
11355638a9029
121571ba90540
138740107270
144574bb2a1a
1525663aa550
hex1523f3c400

90797491200 has 528 divisors, whose sum is σ = 325509027200. Its totient is φ = 22189178880.

The previous prime is 90797491157. The next prime is 90797491201. The reversal of 90797491200 is 219479709.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 90797491200.

It is not an unprimeable number, because it can be changed into a prime (90797491201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198681372 + ... + 198681828.

Almost surely, 290797491200 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 90797491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162754513600).

90797491200 is an abundant number, since it is smaller than the sum of its proper divisors (234711536000).

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

90797491200 is a wasteful number, since it uses less digits than its factorization.

90797491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 48.

The spelling of 90797491200 in words is "ninety billion, seven hundred ninety-seven million, four hundred ninety-one thousand, two hundred".