Search a number
-
+
13293152352 = 253428118251
BaseRepresentation
bin11000110000101010…
…10110100001100000
31021022102102002220000
430120111112201200
5204211021333402
610035022220000
7650262634134
oct143025264140
937272362800
1013293152352
115701702127
1226aba24600
13133b042a2c
149016793c4
1552c05bc1c
hex318556860

13293152352 has 120 divisors (see below), whose sum is σ = 39236068872. Its totient is φ = 4415040000.

The previous prime is 13293152351. The next prime is 13293152387. The reversal of 13293152352 is 25325139231.

13293152352 is a `hidden beast` number, since 1 + 3 + 293 + 15 + 2 + 352 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13293152351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 719227 + ... + 737477.

Almost surely, 213293152352 is an apocalyptic number.

13293152352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13293152352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19618034436).

13293152352 is an abundant number, since it is smaller than the sum of its proper divisors (25942916520).

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

13293152352 is a wasteful number, since it uses less digits than its factorization.

13293152352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18554 (or 18537 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The spelling of 13293152352 in words is "thirteen billion, two hundred ninety-three million, one hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 281 288 324 432 562 648 843 864 1124 1296 1686 2248 2529 2592 3372 4496 5058 6744 7587 8992 10116 13488 15174 18251 20232 22761 26976 30348 36502 40464 45522 54753 60696 73004 80928 91044 109506 121392 146008 164259 182088 219012 242784 292016 328518 364176 438024 492777 584032 657036 728352 876048 985554 1314072 1478331 1752096 1971108 2628144 2956662 3942216 5128531 5256288 5913324 7884432 10257062 11826648 15385593 15768864 20514124 23653296 30771186 41028248 46156779 47306592 61542372 82056496 92313558 123084744 138470337 164112992 184627116 246169488 276940674 369254232 415411011 492338976 553881348 738508464 830822022 1107762696 1477016928 1661644044 2215525392 3323288088 4431050784 6646576176 13293152352