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38109924036 = 22331373377643
BaseRepresentation
bin100011011111100001…
…110100101011000100
310122100221112201201000
4203133201310223010
51111022120032121
625301335533300
72516254003152
oct433741645304
9118327481630
1038109924036
1115187070a98
127476b2a230
133794614b12
141bb75683d2
15ed0ad9526
hex8df874ac4

38109924036 has 96 divisors (see below), whose sum is σ = 99833086080. Its totient is φ = 12571517952.

The previous prime is 38109924031. The next prime is 38109924043. The reversal of 38109924036 is 63042990183.

It is a happy number.

38109924036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 38109923982 and 38109924000.

It is not an unprimeable number, because it can be changed into a prime (38109924031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4982431 + ... + 4990073.

It is an arithmetic number, because the mean of its divisors is an integer number (1039927980).

Almost surely, 238109924036 is an apocalyptic number.

38109924036 is a gapful number since it is divisible by the number (36) 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 38109924036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49916543040).

38109924036 is an abundant number, since it is smaller than the sum of its proper divisors (61723162044).

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

38109924036 is a wasteful number, since it uses less digits than its factorization.

38109924036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8130 (or 8122 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 38109924036 in words is "thirty-eight billion, one hundred nine million, nine hundred twenty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 137 274 337 411 548 674 822 1011 1233 1348 1644 2022 2466 3033 3699 4044 4932 6066 7398 7643 9099 12132 14796 15286 18198 22929 30572 36396 45858 46169 68787 91716 92338 137574 138507 184676 206361 275148 277014 412722 415521 554028 825444 831042 1047091 1246563 1662084 2094182 2493126 2575691 3141273 4188364 4986252 5151382 6282546 7727073 9423819 10302764 12565092 15454146 18847638 23181219 28271457 30908292 37695276 46362438 56542914 69543657 92724876 113085828 139087314 278174628 352869667 705739334 1058609001 1411478668 2117218002 3175827003 4234436004 6351654006 9527481009 12703308012 19054962018 38109924036