Search a number
-
+
53250345504 = 2532438774903
BaseRepresentation
bin110001100101111101…
…111100101000100000
312002110002220211102200
4301211331330220200
51333024042024004
640243551413200
73563410316466
oct614575745040
9162402824380
1053250345504
1120646482804
12a3a1524200
135038287ca5
1428122a2836
1515b9dda239
hexc65f7ca20

53250345504 has 144 divisors (see below), whose sum is σ = 155160637632. Its totient is φ = 17314020864.

The previous prime is 53250345469. The next prime is 53250345517. The reversal of 53250345504 is 40554305235.

53250345504 is a `hidden beast` number, since 53 + 2 + 50 + 3 + 4 + 550 + 4 = 666.

53250345504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10858317 + ... + 10863219.

It is an arithmetic number, because the mean of its divisors is an integer number (1077504428).

Almost surely, 253250345504 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 53250345504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77580318816).

53250345504 is an abundant number, since it is smaller than the sum of its proper divisors (101910292128).

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

53250345504 is a wasteful number, since it uses less digits than its factorization.

53250345504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5839 (or 5828 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

The spelling of 53250345504 in words is "fifty-three billion, two hundred fifty million, three hundred forty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 877 1032 1376 1548 1754 2064 2631 3096 3508 4128 4903 5262 6192 7016 7893 9806 10524 12384 14032 14709 15786 19612 21048 28064 29418 31572 37711 39224 42096 44127 58836 63144 75422 78448 84192 88254 113133 117672 126288 150844 156896 176508 210829 226266 235344 252576 301688 339399 353016 421658 452532 470688 603376 632487 678798 706032 843316 905064 1206752 1264974 1357596 1412064 1686632 1810128 1897461 2529948 2715192 3373264 3620256 3794922 4299931 5059896 5430384 6746528 7589844 8599862 10119792 10860768 12899793 15179688 17199724 20239584 25799586 30359376 34399448 38699379 51599172 60718752 68798896 77398758 103198344 137597792 154797516 184897033 206396688 309595032 369794066 412793376 554691099 619190064 739588132 1109382198 1238380128 1479176264 1664073297 2218764396 2958352528 3328146594 4437528792 5916705056 6656293188 8875057584 13312586376 17750115168 26625172752 53250345504