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13851395136 = 263297247913
BaseRepresentation
bin11001110011001101…
…11000010001000000
31022202022211210000200
430321212320101000
5211331424121021
610210243245200
71000151626125
oct147146702100
938668753020
1013851395136
11596882a1a7
122826979800
1313c98aacc7
1495587274c
1556107c126
hex3399b8440

13851395136 has 84 divisors (see below), whose sum is σ = 40111989372. Its totient is φ = 4569513984.

The previous prime is 13851395059. The next prime is 13851395149. The reversal of 13851395136 is 63159315831.

13851395136 is a `hidden beast` number, since 1 + 38 + 513 + 95 + 13 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3047040000 + 10804355136 = 55200^2 + 103944^2 .

It is a super-2 number, since 2×138513951362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13851395091 and 13851395100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68085 + ... + 179828.

It is an arithmetic number, because the mean of its divisors is an integer number (477523683).

Almost surely, 213851395136 is an apocalyptic number.

13851395136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13851395136 is an abundant number, since it is smaller than the sum of its proper divisors (26260594236).

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

13851395136 is a wasteful number, since it uses less digits than its factorization.

13851395136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248028 (or 248015 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The spelling of 13851395136 in words is "thirteen billion, eight hundred fifty-one million, three hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 144 192 194 288 291 388 576 582 776 873 1164 1552 1746 2328 3104 3492 4656 6208 6984 9312 13968 18624 27936 55872 247913 495826 743739 991652 1487478 1983304 2231217 2974956 3966608 4462434 5949912 7933216 8924868 11899824 15866432 17849736 23799648 24047561 35699472 47599296 48095122 71398944 72142683 96190244 142797888 144285366 192380488 216428049 288570732 384760976 432856098 577141464 769521952 865712196 1154282928 1539043904 1731424392 2308565856 3462848784 4617131712 6925697568 13851395136