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52345935072 = 253427174521
BaseRepresentation
bin110000110000000011…
…111001010011100000
312000010002010000120000
4300300003321103200
51324201024410242
640014123020000
73532116051414
oct606003712340
9160102100500
1052345935072
1120221a08872
12a18a66a600
134c22aa8ca2
142768118d44
1515657dba4c
hexc300f94e0

52345935072 has 120 divisors (see below), whose sum is σ = 154518088032. Its totient is φ = 17384025600.

The previous prime is 52345935013. The next prime is 52345935077. The reversal of 52345935072 is 27053954325.

52345935072 is a `hidden beast` number, since 5 + 2 + 3 + 4 + 593 + 50 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52345935077) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 665172 + ... + 739692.

Almost surely, 252345935072 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 52345935072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77259044016).

52345935072 is an abundant number, since it is smaller than the sum of its proper divisors (102172152960).

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

52345935072 is a wasteful number, since it uses less digits than its factorization.

52345935072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74814 (or 74797 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 52345935072 in words is "fifty-two billion, three hundred forty-five million, nine hundred thirty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 271 288 324 432 542 648 813 864 1084 1296 1626 2168 2439 2592 3252 4336 4878 6504 7317 8672 9756 13008 14634 19512 21951 26016 29268 39024 43902 58536 74521 78048 87804 117072 149042 175608 223563 234144 298084 351216 447126 596168 670689 702432 894252 1192336 1341378 1788504 2012067 2384672 2682756 3577008 4024134 5365512 6036201 7154016 8048268 10731024 12072402 16096536 20195191 21462048 24144804 32193072 40390382 48289608 60585573 64386144 80780764 96579216 121171146 161561528 181756719 193158432 242342292 323123056 363513438 484684584 545270157 646246112 727026876 969369168 1090540314 1454053752 1635810471 1938738336 2181080628 2908107504 3271620942 4362161256 5816215008 6543241884 8724322512 13086483768 17448645024 26172967536 52345935072