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20117504744724 = 22319373593663713
BaseRepresentation
bin1001001001011111110001…
…01110010101110100010100
32122020012210111101000102010
410210233320232111310110
510114101122203312344
6110441504252344220
74144304343616362
oct444577056256424
978205714330363
1020117504744724
116456870a69a12
12230aaa7775070
13b2c0c354049a
144d799a02a632
1524d480c4b8b9
hex124bf8b95d14

20117504744724 has 96 divisors (see below), whose sum is σ = 50761059108480. Its totient is φ = 6179466682368.

The previous prime is 20117504744723. The next prime is 20117504744741. The reversal of 20117504744724 is 42744740571102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20117504744723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29978692 + ... + 30642404.

It is an arithmetic number, because the mean of its divisors is an integer number (528761032380).

Almost surely, 220117504744724 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 20117504744724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25380529554240).

20117504744724 is an abundant number, since it is smaller than the sum of its proper divisors (30643554363756).

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

20117504744724 is a wasteful number, since it uses less digits than its factorization.

20117504744724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667369 (or 667367 counting only the distinct ones).

The product of its (nonzero) digits is 1756160, while the sum is 48.

The spelling of 20117504744724 in words is "twenty trillion, one hundred seventeen billion, five hundred four million, seven hundred forty-four thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 222 228 444 703 1406 2109 2812 3593 4218 7186 8436 10779 14372 21558 43116 68267 132941 136534 204801 265882 273068 398823 409602 531764 663713 797646 819204 1327426 1595292 1991139 2525879 2654852 3982278 5051758 7577637 7964556 10103516 12610547 15155274 24557381 25221094 30310548 37831641 49114762 50442188 73672143 75663282 98229524 147344286 151326564 294688572 466590239 933180478 1399770717 1866360956 2384720809 2799541434 4769441618 5599082868 7154162427 9538883236 14308324854 28616649708 45309695371 88234669933 90619390742 135929086113 176469339866 181238781484 264704009799 271858172226 352938679732 529408019598 543716344452 1058816039196 1676458728727 3352917457454 5029376186181 6705834914908 10058752372362 20117504744724