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38985508224 = 273313867733
BaseRepresentation
bin100100010011101101…
…111010010110000000
310201121222010000102000
4210103231322112000
51114320242230344
625524254424000
72550045231555
oct442355722600
9121558100360
1038985508224
1115596337393
127680202000
1338a3b40180
141c5b96aa2c
1510328e1a69
hex913b7a580

38985508224 has 128 divisors (see below), whose sum is σ = 123912415200. Its totient is φ = 11995527168.

The previous prime is 38985508193. The next prime is 38985508249. The reversal of 38985508224 is 42280558983.

It is a happy number.

38985508224 is a `hidden beast` number, since 3 + 8 + 9 + 8 + 550 + 82 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388939 + ... + 478794.

Almost surely, 238985508224 is an apocalyptic number.

It is an amenable number.

38985508224 is an abundant number, since it is smaller than the sum of its proper divisors (84926906976).

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

38985508224 is a wasteful number, since it uses less digits than its factorization.

38985508224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867769 (or 867751 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 38985508224 in words is "thirty-eight billion, nine hundred eighty-five million, five hundred eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7488 11232 14976 22464 44928 867733 1735466 2603199 3470932 5206398 6941864 7809597 10412796 11280529 13883728 15619194 20825592 22561058 23428791 27767456 31238388 33841587 41651184 45122116 46857582 55534912 62476776 67683174 83302368 90244232 93715164 101524761 111069824 124953552 135366348 166604736 180488464 187430328 203049522 249907104 270732696 304574283 333209472 360976928 374860656 406099044 499814208 541465392 609148566 721953856 749721312 812198088 999628416 1082930784 1218297132 1443907712 1499442624 1624396176 2165861568 2436594264 2998885248 3248792352 4331723136 4873188528 6497584704 9746377056 12995169408 19492754112 38985508224