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215968393256 = 23711997351653
BaseRepresentation
bin1100100100100010111…
…0000010100000101000
3202122110012122002222212
43021020232002200220
512014300402041011
6243114200104252
721413620024250
oct3111056024050
9678405562885
10215968393256
1183656589420
1235a33465088
131749a689c95
14a64ab86960
1559402c508b
hex3248b82828

215968393256 has 64 divisors (see below), whose sum is σ = 505368996480. Its totient is φ = 84058894080.

The previous prime is 215968393231. The next prime is 215968393273. The reversal of 215968393256 is 652393869512.

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 215968393195 and 215968393204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438326 + ... + 789978.

It is an arithmetic number, because the mean of its divisors is an integer number (7896390570).

Almost surely, 2215968393256 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 215968393256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252684498240).

215968393256 is an abundant number, since it is smaller than the sum of its proper divisors (289400603224).

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

215968393256 is a wasteful number, since it uses less digits than its factorization.

215968393256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352674 (or 352670 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 59.

The spelling of 215968393256 in words is "two hundred fifteen billion, nine hundred sixty-eight million, three hundred ninety-three thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 997 1994 3988 6979 7976 10967 13958 21934 27916 43868 55832 76769 87736 153538 307076 351653 614152 703306 1406612 2461571 2813224 3868183 4923142 7736366 9846284 15472732 19692568 27077281 30945464 54154562 108309124 216618248 350598041 701196082 1402392164 2454186287 2804784328 3856578451 4908372574 7713156902 9816745148 15426313804 19633490296 26996049157 30852627608 53992098314 107984196628 215968393256