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10097190450 = 2325271316031
BaseRepresentation
bin10010110011101011…
…01110011000110010
3222001200122102100200
421121311232120302
5131134340043300
64345533500030
7505134463014
oct113165563062
928050572320
1010097190450
1143116676a6
121b59641616
13c4bb89209
146bb0221b4
153e16aa200
hex259d6e632

10097190450 has 72 divisors (see below), whose sum is σ = 27509953536. Its totient is φ = 2654652000.

The previous prime is 10097190407. The next prime is 10097190479. The reversal of 10097190450 is 5409179001.

10097190450 is a `hidden beast` number, since 10 + 0 + 9 + 7 + 190 + 450 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 126066 + ... + 189965.

It is an arithmetic number, because the mean of its divisors is an integer number (382082688).

Almost surely, 210097190450 is an apocalyptic number.

10097190450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10097190450 is an abundant number, since it is smaller than the sum of its proper divisors (17412763086).

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

10097190450 is a wasteful number, since it uses less digits than its factorization.

10097190450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316120 (or 316112 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 10097190450 in words is "ten billion, ninety-seven million, one hundred ninety thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 71 75 90 142 150 213 225 355 426 450 639 710 1065 1278 1775 2130 3195 3550 5325 6390 10650 15975 31950 316031 632062 948093 1580155 1896186 2844279 3160310 4740465 5688558 7900775 9480930 14221395 15801550 22438201 23702325 28442790 44876402 47404650 67314603 71106975 112191005 134629206 142213950 201943809 224382010 336573015 403887618 560955025 673146030 1009719045 1121910050 1682865075 2019438090 3365730150 5048595225 10097190450