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38136060810 = 23253119370823
BaseRepresentation
bin100011100001000101…
…100001101110001010
310122102202201121121200
4203201011201232022
51111100312421220
625304112045030
72520022111521
oct434105415612
9118382647550
1038136060810
111519a8a2a31
127483833776
133799b66573
141bbac0d4b8
15ed304d890
hex8e1161b8a

38136060810 has 96 divisors (see below), whose sum is σ = 102884041728. Its totient is φ = 9790433280.

The previous prime is 38136060797. The next prime is 38136060817. The reversal of 38136060810 is 1806063183.

38136060810 is a `hidden beast` number, since 3 + 8 + 1 + 36 + 0 + 608 + 10 = 666.

It is a super-3 number, since 3×381360608103 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (38136060817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503059 + ... + 573881.

It is an arithmetic number, because the mean of its divisors is an integer number (1071708768).

Almost surely, 238136060810 is an apocalyptic number.

38136060810 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38136060810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51442020864).

38136060810 is an abundant number, since it is smaller than the sum of its proper divisors (64747980918).

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

38136060810 is a wasteful number, since it uses less digits than its factorization.

38136060810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71060 (or 71057 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 38136060810 in words is "thirty-eight billion, one hundred thirty-six million, sixty thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 193 279 310 386 465 558 579 930 965 1158 1395 1737 1930 2790 2895 3474 5790 5983 8685 11966 17370 17949 29915 35898 53847 59830 70823 89745 107694 141646 179490 212469 269235 354115 424938 538470 637407 708230 1062345 1274814 2124690 2195513 3187035 4391026 6374070 6586539 10977565 13173078 13668839 19759617 21955130 27337678 32932695 39519234 41006517 65865390 68344195 82013034 98798085 123019551 136688390 197596170 205032585 246039102 410065170 423734009 615097755 847468018 1230195510 1271202027 2118670045 2542404054 3813606081 4237340090 6356010135 7627212162 12712020270 19068030405 38136060810