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20117072534624 = 25131914291781089
BaseRepresentation
bin1001001001011110111101…
…11101100101110001100000
32122020011200101002110121122
410210233132331211301200
510114044231032101444
6110441353332511412
74144260545112542
oct444573675456140
978204611073548
1020117072534624
116456669aa408a
12230a9a6a7b568
13b2c054b31c70
144d795887d692
1524d457d244ee
hex124bdef65c60

20117072534624 has 96 divisors (see below), whose sum is σ = 44928351468000. Its totient is φ = 8789968502784.

The previous prime is 20117072534597. The next prime is 20117072534651. The reversal of 20117072534624 is 42643527071102.

It is an interprime number because it is at equal distance from previous prime (20117072534597) and next prime (20117072534651).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10404272 + ... + 12185360.

It is an arithmetic number, because the mean of its divisors is an integer number (468003661125).

Almost surely, 220117072534624 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 20117072534624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22464175734000).

20117072534624 is an abundant number, since it is smaller than the sum of its proper divisors (24811278933376).

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

20117072534624 is a wasteful number, since it uses less digits than its factorization.

20117072534624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782560 (or 1782552 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The spelling of 20117072534624 in words is "twenty trillion, one hundred seventeen billion, seventy-two million, five hundred thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 988 1429 1976 2858 3952 5716 7904 11432 18577 22864 27151 37154 45728 54302 74308 108604 148616 217208 297232 352963 434416 594464 705926 868832 1411852 1781089 2823704 3562178 5647408 7124356 11294816 14248712 23154157 28497424 33840691 46308314 56994848 67681382 92616628 135362764 185233256 270725528 370466512 439928983 541451056 740933024 879857966 1082902112 1759715932 2545176181 3519431864 5090352362 7038863728 10180704724 14077727456 20361409448 33087290353 40722818896 48358347439 66174580706 81445637792 96716694878 132349161412 193433389756 264698322824 386866779512 529396645648 628658516707 773733559024 1058793291296 1257317033414 1547467118048 2514634066828 5029268133656 10058536267312 20117072534624