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9906101370 = 23251110006163
BaseRepresentation
bin10010011100111001…
…10001110001111010
3221120101002002102100
421032130301301322
5130241430220440
64314550044230
7500324321004
oct111634616172
927511062370
109906101370
114223810640
121b05649676
13c1b401b59
1469d8bd374
153cea11230
hex24e731c7a

9906101370 has 48 divisors (see below), whose sum is σ = 28097308512. Its totient is φ = 2401478880.

The previous prime is 9906101347. The next prime is 9906101407. The reversal of 9906101370 is 731016099.

9906101370 is a `hidden beast` number, since 9 + 9 + 0 + 610 + 1 + 37 + 0 = 666.

It is a Curzon 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, 5002092 + ... + 5004071.

It is an arithmetic number, because the mean of its divisors is an integer number (585360594).

Almost surely, 29906101370 is an apocalyptic number.

9906101370 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9906101370 is an abundant number, since it is smaller than the sum of its proper divisors (18191207142).

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

9906101370 is a wasteful number, since it uses less digits than its factorization.

9906101370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10006187 (or 10006184 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 9906101370 is about 99529.3995259692. The cubic root of 9906101370 is about 2147.6701908764.

The spelling of 9906101370 in words is "nine billion, nine hundred six million, one hundred one thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 10006163 20012326 30018489 50030815 60036978 90055467 100061630 110067793 150092445 180110934 220135586 300184890 330203379 450277335 550338965 660406758 900554670 990610137 1100677930 1651016895 1981220274 3302033790 4953050685 9906101370