Search a number
-
+
53719256934 = 23272123149477
BaseRepresentation
bin110010000001111010…
…101100111101100110
312010122210020222222200
4302001322230331212
51340004112210214
640402302035330
73611133102300
oct620172547546
9163583228880
1053719256934
1120867135912
12a4b2578b46
1350b1476785
142858684970
1515e6161d09
hexc81eacf66

53719256934 has 72 divisors (see below), whose sum is σ = 135507179808. Its totient is φ = 15335580960.

The previous prime is 53719256887. The next prime is 53719256953. The reversal of 53719256934 is 43965291735.

53719256934 is a `hidden beast` number, since 5 + 3 + 71 + 9 + 2 + 569 + 3 + 4 = 666.

It is a super-2 number, since 2×537192569342 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1061004 + ... + 1110480.

It is an arithmetic number, because the mean of its divisors is an integer number (1882044164).

Almost surely, 253719256934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53719256934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67753589904).

53719256934 is an abundant number, since it is smaller than the sum of its proper divisors (81787922874).

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

53719256934 is a wasteful number, since it uses less digits than its factorization.

53719256934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50730 (or 50720 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 54.

The spelling of 53719256934 in words is "fifty-three billion, seven hundred nineteen million, two hundred fifty-six thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1231 2462 3693 7386 8617 11079 17234 22158 25851 49477 51702 60319 77553 98954 120638 148431 155106 180957 296862 346339 361914 445293 542871 692678 890586 1039017 1085742 2078034 2424373 3117051 4848746 6234102 7273119 14546238 21819357 43638714 60906187 121812374 182718561 365437122 426343309 548155683 852686618 1096311366 1279029927 2558059854 2984403163 3837089781 5968806326 7674179562 8953209489 17906418978 26859628467 53719256934