Search a number
-
+
46961279094935 = 5172591813043277
BaseRepresentation
bin10101010110110000001100…
…10110111101000010010111
320011021110021021200012120202
422223120012112331002113
522123403144422014220
6243513414102251115
712614561163045002
oct1253300626750227
9204243237605522
1046961279094935
1113a66191853327
1253254b1426a9b
132028577b3943a
14b84d1bd82539
15566885d95275
hex2ab6065bd097

46961279094935 has 48 divisors (see below), whose sum is σ = 61214441389920. Its totient is φ = 34567719966720.

The previous prime is 46961279094857. The next prime is 46961279095007. The reversal of 46961279094935 is 53949097216964.

46961279094935 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 46961279094935 - 224 = 46961262317719 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13909517 + ... + 16952793.

It is an arithmetic number, because the mean of its divisors is an integer number (1275300862290).

Almost surely, 246961279094935 is an apocalyptic number.

46961279094935 is a deficient number, since it is larger than the sum of its proper divisors (14253162294985).

46961279094935 is a wasteful number, since it uses less digits than its factorization.

46961279094935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043556 (or 3043539 counting only the distinct ones).

The product of its (nonzero) digits is 793618560, while the sum is 74.

The spelling of 46961279094935 in words is "forty-six trillion, nine hundred sixty-one billion, two hundred seventy-nine million, ninety-four thousand, nine hundred thirty-five".

Divisors: 1 5 17 59 85 181 289 295 905 1003 1445 3077 5015 10679 15385 17051 52309 53395 85255 181543 261545 907715 3043277 3086231 15216385 15431155 51735709 179553343 258678545 550833137 879507053 897766715 2754165685 3052406831 4397535265 9364163329 15262034155 32499155083 46820816645 51890916127 159190776593 162495775415 259454580635 552485636411 795953882965 2762428182055 9392255818987 46961279094935