Search a number
-
+
268346464643862 = 232112432865296353
BaseRepresentation
bin111101000000111101000111…
…101100111010101100010110
31022012010200010111202110212200
4331000331013230322230112
5240133042024422100422
62350420355231425330
7110344251360334143
oct7500750754725426
91265120114673780
10268346464643862
117855a107571600
122611b414085246
13b696c69a34617
144a3a076b093ca
1521054925682ac
hexf40f47b3ab16

268346464643862 has 72 divisors (see below), whose sum is σ = 653940856280712. Its totient is φ = 79426014877440.

The previous prime is 268346464643833. The next prime is 268346464643879.

268346464643862 is a `hidden beast` number, since 2 + 6 + 8 + 3 + 46 + 46 + 464 + 3 + 86 + 2 = 666.

268346464643862 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1432554523 + ... + 1432741830.

Almost surely, 2268346464643862 is an apocalyptic number.

268346464643862 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

268346464643862 is an abundant number, since it is smaller than the sum of its proper divisors (385594391636850).

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

268346464643862 is a wasteful number, since it uses less digits than its factorization.

268346464643862 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865296426 (or 2865296412 counting only the distinct ones).

The product of its digits is 4586471424, while the sum is 72.

The spelling of 268346464643862 in words is "two hundred sixty-eight trillion, three hundred forty-six billion, four hundred sixty-four million, six hundred forty-three thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 121 129 198 242 258 363 387 473 726 774 946 1089 1419 2178 2838 4257 5203 8514 10406 15609 31218 46827 93654 2865296353 5730592706 8595889059 17191778118 25787667177 31518259883 51575334354 63036519766 94554779649 123207743179 189109559298 246415486358 283664338947 346700858713 369623229537 567328677894 693401717426 739246459074 1040102576139 1108869688611 1355285174969 2080205152278 2217739377222 2710570349938 3120307728417 4065855524907 6240615456834 8131711049814 12197566574721 14908136924659 24395133149442 29816273849318 44724410773977 89448821547954 134173232321931 268346464643862