Search a number
-
+
5881255968 = 253723733791
BaseRepresentation
bin1010111101000110…
…01101100000100000
3120011212121202111010
411132203031200200
544021100142333
62411331420520
7265512564600
oct53643154040
916155552433
105881255968
1125488a7725
121181754740
137295c1723
143db13cc00
152464ce563
hex15e8cd820

5881255968 has 144 divisors (see below), whose sum is σ = 18444754944. Its totient is φ = 1634895360.

The previous prime is 5881255949. The next prime is 5881255979. The reversal of 5881255968 is 8695521885.

It is a super-2 number, since 2×58812559682 = 69178343522271234048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157153 + ... + 190943.

It is an arithmetic number, because the mean of its divisors is an integer number (128088576).

Almost surely, 25881255968 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 5881255968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9222377472).

5881255968 is an abundant number, since it is smaller than the sum of its proper divisors (12563498976).

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

5881255968 is a wasteful number, since it uses less digits than its factorization.

5881255968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33855 (or 33840 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 57.

The square root of 5881255968 is about 76689.3471611279. The cubic root of 5881255968 is about 1805.0532866408.

The spelling of 5881255968 in words is "five billion, eight hundred eighty-one million, two hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 49 56 74 84 96 98 111 112 147 148 168 196 222 224 259 294 296 336 392 444 518 588 592 672 777 784 888 1036 1176 1184 1554 1568 1776 1813 2072 2352 3108 3552 3626 4144 4704 5439 6216 7252 8288 10878 12432 14504 21756 24864 29008 33791 43512 58016 67582 87024 101373 135164 174048 202746 236537 270328 405492 473074 540656 709611 810984 946148 1081312 1250267 1419222 1621968 1655759 1892296 2500534 2838444 3243936 3311518 3750801 3784592 4967277 5001068 5676888 6623036 7501602 7569184 8751869 9934554 10002136 11353776 13246072 15003204 17503738 19869108 20004272 22707552 26255607 26492144 30006408 35007476 39738216 40008544 52511214 52984288 60012816 61263083 70014952 79476432 105022428 120025632 122526166 140029904 158952864 183789249 210044856 245052332 280059808 367578498 420089712 490104664 735156996 840179424 980209328 1470313992 1960418656 2940627984 5881255968