Search a number
-
+
293132808231392 = 25295923392288939
BaseRepresentation
bin100001010100110100100110…
…0111010000001100111100000
31102102220020000102002210100202
41002221221030322001213200
5301410141442401401032
62515235204132004332
7115513101152524463
oct10251511472014740
91372806012083322
10293132808231392
1185445a203210a8
1228a631284606a8
13c7743c7700abc
1452559bca332da
1523d50cc7d6d62
hex10a9a4ce819e0

293132808231392 has 96 divisors (see below), whose sum is σ = 607383962640000. Its totient is φ = 139054338551296.

The previous prime is 293132808231391. The next prime is 293132808231407.

293132808231392 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (293132808231391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126920459 + ... + 129209397.

It is an arithmetic number, because the mean of its divisors is an integer number (6326916277500).

Almost surely, 2293132808231392 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 293132808231392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303691981320000).

293132808231392 is an abundant number, since it is smaller than the sum of its proper divisors (314251154408608).

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

293132808231392 is a wasteful number, since it uses less digits than its factorization.

293132808231392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291376 (or 2291368 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 56.

The spelling of 293132808231392 in words is "two hundred ninety-three trillion, one hundred thirty-two billion, eight hundred eight million, two hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 29 32 58 59 116 118 232 236 464 472 928 944 1711 1888 2339 3422 4678 6844 9356 13688 18712 27376 37424 54752 67831 74848 135662 138001 271324 276002 542648 552004 1085296 1104008 2170592 2208016 2288939 4002029 4416032 4577878 8004058 9155756 16008116 18311512 32016232 36623024 64032464 66379231 73246048 128064928 132758462 135047401 265516924 270094802 531033848 540189604 1062067696 1080379208 2124135392 2160758416 3916374629 4321516832 5353828321 7832749258 10707656642 15665498516 21415313284 31330997032 42830626568 62661994064 85661253136 125323988128 155261021309 171322506272 310522042618 315875870939 621044085236 631751741878 1242088170472 1263503483756 2484176340944 2527006967512 4968352681888 5054013935024 9160400257231 10108027870048 18320800514462 36641601028924 73283202057848 146566404115696 293132808231392