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38613699240 = 23351933735021
BaseRepresentation
bin100011111101100011…
…100100101010101000
310200200001111011100220
4203331203210222220
51113040101333430
625423333330040
72534612012424
oct437543445250
9120601434326
1038613699240
1115415476836
127597796920
133844abc35c
141c24423b84
15100ee4b110
hex8fd8e4aa8

38613699240 has 128 divisors (see below), whose sum is σ = 121998441600. Its totient is φ = 9750205440.

The previous prime is 38613699233. The next prime is 38613699251. The reversal of 38613699240 is 4299631683.

38613699240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7687930 + ... + 7692950.

It is an arithmetic number, because the mean of its divisors is an integer number (953112825).

Almost surely, 238613699240 is an apocalyptic number.

38613699240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38613699240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60999220800).

38613699240 is an abundant number, since it is smaller than the sum of its proper divisors (83384742360).

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

38613699240 is a wasteful number, since it uses less digits than its factorization.

38613699240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8427 (or 8423 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 38613699240 in words is "thirty-eight billion, six hundred thirteen million, six hundred ninety-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 3373 5021 6746 10042 10119 13492 15063 16865 20084 20238 25105 26984 30126 33730 40168 40476 50210 50595 60252 64087 67460 75315 80952 95399 100420 101190 120504 128174 134920 150630 190798 192261 200840 202380 256348 286197 301260 320435 381596 384522 404760 476995 512696 572394 602520 640870 763192 769044 953990 961305 1144788 1281740 1430985 1538088 1907980 1922610 2289576 2563480 2861970 3815960 3845220 5723940 7690440 11447880 16935833 33871666 50807499 67743332 84679165 101614998 135486664 169358330 203229996 254037495 321780827 338716660 406459992 508074990 643561654 677433320 965342481 1016149980 1287123308 1608904135 1930684962 2032299960 2574246616 3217808270 3861369924 4826712405 6435616540 7722739848 9653424810 12871233080 19306849620 38613699240