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38131432920 = 23325715131521
BaseRepresentation
bin100011100000110011…
…110111110111011000
310122102110000111100100
4203200303313313120
51111043121323140
625303424535400
72516634555240
oct434063676730
9118373014310
1038131432920
1115198221a29
127482181560
133798c05c79
141bba366b20
15ed2937530
hex8e0cf7dd8

38131432920 has 96 divisors (see below), whose sum is σ = 141631045920. Its totient is φ = 8715755520.

The previous prime is 38131432903. The next prime is 38131432951. The reversal of 38131432920 is 2923413183.

38131432920 is a `hidden beast` number, since 3 + 8 + 131 + 432 + 92 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7563241 + ... + 7568280.

It is an arithmetic number, because the mean of its divisors is an integer number (1475323395).

Almost surely, 238131432920 is an apocalyptic number.

38131432920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38131432920 is an abundant number, since it is smaller than the sum of its proper divisors (103499613000).

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

38131432920 is a wasteful number, since it uses less digits than its factorization.

38131432920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15131545 (or 15131538 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 38131432920 in words is "thirty-eight billion, one hundred thirty-one million, four hundred thirty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 15131521 30263042 45394563 60526084 75657605 90789126 105920647 121052168 136183689 151315210 181578252 211841294 226972815 272367378 302630420 317761941 363156504 423682588 453945630 529603235 544734756 605260840 635523882 680918445 847365176 907891260 953285823 1059206470 1089469512 1271047764 1361836890 1588809705 1815782520 1906571646 2118412940 2542095528 2723673780 3177619410 3813143292 4236825880 4766429115 5447347560 6355238820 7626286584 9532858230 12710477640 19065716460 38131432920