Search a number
-
+
2868525547968 = 263379306712853
BaseRepresentation
bin101001101111100001011…
…100100100000111000000
3101011020011110220002212210
4221233201130210013000
5333444220020013333
610033441001422120
7414146510565543
oct51574134440700
911136143802783
102868525547968
11a06597986a53
123a3b3349a940
1317a66833c862
149cba1a9885a
154e93c230a63
hex29be17241c0

2868525547968 has 112 divisors (see below), whose sum is σ = 7612739338880. Its totient is φ = 953267180544.

The previous prime is 2868525547957. The next prime is 2868525547999. The reversal of 2868525547968 is 8697455258682.

It is a super-2 number, since 2×28685255479682 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2868525547968.

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, 223173030 + ... + 223185882.

Almost surely, 22868525547968 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 2868525547968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806369669440).

2868525547968 is an abundant number, since it is smaller than the sum of its proper divisors (4744213790912).

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

2868525547968 is a wasteful number, since it uses less digits than its factorization.

2868525547968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16314 (or 16304 counting only the distinct ones).

The product of its digits is 2322432000, while the sum is 75.

The spelling of 2868525547968 in words is "two trillion, eight hundred sixty-eight billion, five hundred twenty-five million, five hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 379 758 1137 1516 2274 3032 3067 4548 6064 6134 9096 9201 12128 12268 12853 18192 18402 24256 24536 25706 36384 36804 38559 49072 51412 72768 73608 77118 98144 102824 147216 154236 196288 205648 294432 308472 411296 588864 616944 822592 1162393 1233888 2324786 2467776 3487179 4649572 4871287 6974358 9299144 9742574 13948716 14613861 18598288 19485148 27897432 29227722 37196576 38970296 39420151 55794864 58455444 74393152 77940592 78840302 111589728 116910888 118260453 155881184 157680604 223179456 233821776 236520906 311762368 315361208 467643552 473041812 630722416 935287104 946083624 1261444832 1892167248 2522889664 3784334496 7568668992 14940237229 29880474458 44820711687 59760948916 89641423374 119521897832 179282846748 239043795664 358565693496 478087591328 717131386992 956175182656 1434262773984 2868525547968