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38957349888 = 210325997057
BaseRepresentation
bin100100010010000010…
…011111110000000000
310201120000010102102200
4210102002133300000
51114241040144023
625521411113200
72546254003362
oct442202376000
9121500112380
1038957349888
1115581454636
1276728a2800
13389b061532
141c57d1ad32
1510301cd743
hex91209fc00

38957349888 has 132 divisors (see below), whose sum is σ = 112692262800. Its totient is φ = 12962267136.

The previous prime is 38957349887. The next prime is 38957349911. The reversal of 38957349888 is 88894375983.

38957349888 is a `hidden beast` number, since 3 + 8 + 9 + 57 + 3 + 498 + 88 = 666.

It is a super-2 number, since 2×389573498882 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38957349887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5516856 + ... + 5523912.

Almost surely, 238957349888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38957349888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56346131400).

38957349888 is an abundant number, since it is smaller than the sum of its proper divisors (73734912912).

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

38957349888 is a wasteful number, since it uses less digits than its factorization.

38957349888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7682 (or 7661 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 38957349888 in words is "thirty-eight billion, nine hundred fifty-seven million, three hundred forty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 599 768 1024 1152 1198 1536 1797 2304 2396 3072 3594 4608 4792 5391 7057 7188 9216 9584 10782 14114 14376 19168 21171 21564 28228 28752 38336 42342 43128 56456 57504 63513 76672 84684 86256 112912 115008 127026 153344 169368 172512 225824 230016 254052 306688 338736 345024 451648 460032 508104 613376 677472 690048 903296 920064 1016208 1354944 1380096 1806592 1840128 2032416 2709888 2760192 3613184 4064832 4227143 5419776 5520384 7226368 8129664 8454286 10839552 12681429 16259328 16908572 21679104 25362858 32518656 33817144 38044287 50725716 65037312 67634288 76088574 101451432 135268576 152177148 202902864 270537152 304354296 405805728 541074304 608708592 811611456 1082148608 1217417184 1623222912 2164297216 2434834368 3246445824 4328594432 4869668736 6492891648 9739337472 12985783296 19478674944 38957349888