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9938105640 = 2332527605849
BaseRepresentation
bin10010100000101101…
…10111010100101000
3221122121022002000200
421100112313110220
5130323123340030
64322052032200
7501163334631
oct112026672450
927577262020
109938105640
11423a88a951
121b14302660
13c24c291a8
146a3c50888
153d2733d60
hex2505b7528

9938105640 has 48 divisors (see below), whose sum is σ = 32298844500. Its totient is φ = 2650161408.

The previous prime is 9938105533. The next prime is 9938105651. The reversal of 9938105640 is 465018399.

It is a happy number.

9938105640 is a `hidden beast` number, since 9 + 9 + 3 + 81 + 0 + 564 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8406322596 + 1531783044 = 91686^2 + 39138^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13802565 + ... + 13803284.

Almost surely, 29938105640 is an apocalyptic number.

9938105640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9938105640 is an abundant number, since it is smaller than the sum of its proper divisors (22360738860).

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

9938105640 is a wasteful number, since it uses less digits than its factorization.

9938105640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27605866 (or 27605859 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 9938105640 is about 99690.0478483183. The cubic root of 9938105640 is about 2149.9805759918.

The spelling of 9938105640 in words is "nine billion, nine hundred thirty-eight million, one hundred five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 27605849 55211698 82817547 110423396 138029245 165635094 220846792 248452641 276058490 331270188 414087735 496905282 552116980 662540376 828175470 993810564 1104233960 1242263205 1656350940 1987621128 2484526410 3312701880 4969052820 9938105640