Search a number
-
+
256611362760376 = 231317314682005597
BaseRepresentation
bin111010010110001011111101…
…000111110110011010111000
31020122120210210002012222000121
4322112023331013312122320
5232113310032331313001
62305433344351343024
7105023362534212331
oct7226137507663270
91218523702188017
10256611362760376
11748452a4485438
1224945002221a74
13b025469ac9aa0
1447520b0401288
151ea00b534d6a1
hexe962fd1f66b8

256611362760376 has 64 divisors (see below), whose sum is σ = 566335397134080. Its totient is φ = 107873408931840.

The previous prime is 256611362760371. The next prime is 256611362760443. The reversal of 256611362760376 is 673067263116652.

It is a happy number.

It is a super-2 number, since 2×2566113627603762 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256611362760371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2340947991 + ... + 2341057606.

It is an arithmetic number, because the mean of its divisors is an integer number (8848990580220).

Almost surely, 2256611362760376 is an apocalyptic number.

256611362760376 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

256611362760376 is an abundant number, since it is smaller than the sum of its proper divisors (309724034373704).

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

256611362760376 is a wasteful number, since it uses less digits than its factorization.

256611362760376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4682005664 (or 4682005660 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 61.

The spelling of 256611362760376 in words is "two hundred fifty-six trillion, six hundred eleven billion, three hundred sixty-two million, seven hundred sixty thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 17 26 31 34 52 62 68 104 124 136 221 248 403 442 527 806 884 1054 1612 1768 2108 3224 4216 6851 13702 27404 54808 4682005597 9364011194 18728022388 37456044776 60866072761 79594095149 121732145522 145142173507 159188190298 243464291044 290284347014 318376380596 486928582088 580568694028 636752761192 1034723236937 1161137388056 1886848255591 2069446473874 2467416949619 3773696511182 4138892947748 4934833899238 7547393022364 8277785895496 9869667798476 15094786044728 19739335596952 32076420345047 64152840690094 128305681380188 256611362760376