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99210408160 = 25513110314591
BaseRepresentation
bin101110001100101100…
…1101011000011100000
3100111002010212220212111
41130121121223003200
53111140331030120
6113324315205104
710111345361323
oct1343131530340
9314063786774
1099210408160
1139090764066
1217289446794
139481062136
144b322447ba
1528a9c6b75a
hex171966b0e0

99210408160 has 96 divisors (see below), whose sum is σ = 236454349824. Its totient is φ = 39334464000.

The previous prime is 99210408139. The next prime is 99210408163. The reversal of 99210408160 is 6180401299.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99210408163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21607465 + ... + 21612055.

It is an arithmetic number, because the mean of its divisors is an integer number (2463066144).

Almost surely, 299210408160 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 99210408160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118227174912).

99210408160 is an abundant number, since it is smaller than the sum of its proper divisors (137243941664).

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

99210408160 is a wasteful number, since it uses less digits than its factorization.

99210408160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5768 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The spelling of 99210408160 in words is "ninety-nine billion, two hundred ten million, four hundred eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 131 160 262 524 655 1031 1048 1310 2062 2096 2620 4124 4192 4591 5155 5240 8248 9182 10310 10480 16496 18364 20620 20960 22955 32992 36728 41240 45910 73456 82480 91820 135061 146912 164960 183640 270122 367280 540244 601421 675305 734560 1080488 1202842 1350610 2160976 2405684 2701220 3007105 4321952 4733321 4811368 5402440 6014210 9466642 9622736 10804880 12028420 18933284 19245472 21609760 23666605 24056840 37866568 47333210 48113680 75733136 94666420 96227360 151466272 189332840 378665680 620065051 757331360 1240130102 2480260204 3100325255 4960520408 6200650510 9921040816 12401301020 19842081632 24802602040 49605204080 99210408160