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90304642300 = 225210316095449
BaseRepresentation
bin101010000011010010…
…0110111110011111100
322122002111010010210111
41110012210313303330
52434420442023200
6105252501515404
76344555536345
oct1240644676374
9278074103714
1090304642300
1135330686394
1215602a12b64
138691c870b2
14452955d0cc
152537ea60ba
hex1506937cfc

90304642300 has 72 divisors (see below), whose sum is σ = 198022916000. Its totient is φ = 35742366720.

The previous prime is 90304642297. The next prime is 90304642321. The reversal of 90304642300 is 324640309.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16569976 + ... + 16575424.

Almost surely, 290304642300 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 90304642300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99011458000).

90304642300 is an abundant number, since it is smaller than the sum of its proper divisors (107718273700).

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

90304642300 is a wasteful number, since it uses less digits than its factorization.

90304642300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7175 (or 7168 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The spelling of 90304642300 in words is "ninety billion, three hundred four million, six hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 515 1030 1609 2060 2575 3218 5150 5449 6436 8045 10300 10898 16090 21796 27245 32180 40225 54490 80450 108980 136225 160900 165727 272450 331454 544900 561247 662908 828635 1122494 1657270 2244988 2806235 3314540 4143175 5612470 8286350 8767441 11224940 14031175 16572700 17534882 28062350 35069764 43837205 56124700 87674410 175348820 219186025 438372050 876744100 903046423 1806092846 3612185692 4515232115 9030464230 18060928460 22576160575 45152321150 90304642300