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20935965168 = 24321311378101
BaseRepresentation
bin10011011111111000…
…010111100111110000
32000001001201020002100
4103133320113213300
5320334101341133
613341242220400
71340545524216
oct233770274760
960031636070
1020935965168
118973896558
1240834b4700
131c88584491
141028724cb6
15827eede13
hex4dfe179f0

20935965168 has 120 divisors (see below), whose sum is σ = 59477170896. Its totient is φ = 6873984000.

The previous prime is 20935965161. The next prime is 20935965181. The reversal of 20935965168 is 86156953902.

It is a happy number.

20935965168 is a `hidden beast` number, since 2 + 0 + 9 + 35 + 96 + 516 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20935965161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2580318 + ... + 2588418.

Almost surely, 220935965168 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 20935965168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29738585448).

20935965168 is an abundant number, since it is smaller than the sum of its proper divisors (38541205728).

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

20935965168 is a wasteful number, since it uses less digits than its factorization.

20935965168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8383 (or 8374 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 20935965168 in words is "twenty billion, nine hundred thirty-five million, nine hundred sixty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 137 144 262 274 393 411 524 548 786 822 1048 1096 1179 1233 1572 1644 2096 2192 2358 2466 3144 3288 4716 4932 6288 6576 8101 9432 9864 16202 17947 18864 19728 24303 32404 35894 48606 53841 64808 71788 72909 97212 107682 129616 143576 145818 161523 194424 215364 287152 291636 323046 388848 430728 583272 646092 861456 1061231 1109837 1166544 1292184 2122462 2219674 2584368 3183693 3329511 4244924 4439348 6367386 6659022 8489848 8878696 9551079 9988533 12734772 13318044 16979696 17757392 19102158 19977066 25469544 26636088 38204316 39954132 50939088 53272176 76408632 79908264 145388647 152817264 159816528 290777294 436165941 581554588 872331882 1163109176 1308497823 1744663764 2326218352 2616995646 3489327528 5233991292 6978655056 10467982584 20935965168