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20018097875856 = 24317187726574919
BaseRepresentation
bin1001000110100110100111…
…00111001110101110010000
32121212201012122210212010010
410203103103213032232100
510110434031024011411
6110324104234234520
74134155061311223
oct443232347165620
977781178725103
1020018097875856
11641869a420033
1222b3784585a40
13b22910893012
144d2c49a855ba
1524aab3b247a6
hex1234d39ceb90

20018097875856 has 160 divisors (see below), whose sum is σ = 54816317602560. Its totient is φ = 6273203765248.

The previous prime is 20018097875849. The next prime is 20018097875861. The reversal of 20018097875856 is 65857879081002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4069543765 + ... + 4069548683.

It is an arithmetic number, because the mean of its divisors is an integer number (342601985016).

Almost surely, 220018097875856 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 20018097875856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27408158801280).

20018097875856 is an abundant number, since it is smaller than the sum of its proper divisors (34798219726704).

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

20018097875856 is a wasteful number, since it uses less digits than its factorization.

20018097875856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9481 (or 9475 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 66.

The spelling of 20018097875856 in words is "twenty trillion, eighteen billion, ninety-seven million, eight hundred seventy-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1877 2657 3754 4919 5314 5631 7508 7971 9838 10628 11262 14757 15016 15942 19676 21256 22524 29514 30032 31884 31909 39352 42512 45048 45169 59028 63768 63818 78704 83623 90096 90338 95727 118056 127536 127636 135507 167246 180676 191454 236112 250869 255272 271014 334492 361352 382908 501738 510544 542028 668984 722704 765816 1003476 1084056 1337968 1531632 2006952 2168112 4013904 4987189 9232963 9974378 13069783 14961567 18465926 19948756 26139566 27698889 29923134 36931852 39209349 39897512 52279132 55397778 59846268 73863704 78418698 79795024 84782213 104558264 110795556 119692536 147727408 156837396 156960371 169564426 209116528 221591112 222186311 239385072 254346639 313674792 313920742 339128852 443182224 444372622 470881113 508693278 627349584 627841484 666558933 678257704 888745244 941762226 1017386556 1255682968 1333117866 1356515408 1777490488 1883524452 2034773112 2511365936 2666235732 3554980976 3767048904 4069546224 5332471464 7534097808 10664942928 24531982691 49063965382 73595948073 98127930764 147191896146 196255861528 294383792292 392511723056 417043705747 588767584584 834087411494 1177535169168 1251131117241 1668174822988 2502262234482 3336349645976 5004524468964 6672699291952 10009048937928 20018097875856