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13614398352 = 243489118033
BaseRepresentation
bin11001010110111101…
…10011101110010000
31022010210220002120000
430223132303232100
5210340241221402
610130535450000
7661243322322
oct145336635620
938123802500
1013614398352
115856a77a95
12277b526900
13138c76c119
149321bd612
1554a365c1c
hex32b7b3b90

13614398352 has 100 divisors (see below), whose sum is σ = 39847098060. Its totient is φ = 4487104512.

The previous prime is 13614398297. The next prime is 13614398359. The reversal of 13614398352 is 25389341631.

13614398352 is a `hidden beast` number, since 136 + 1 + 439 + 83 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1087416576 + 12526981776 = 32976^2 + 111924^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13614398298 and 13614398307.

It is not an unprimeable number, because it can be changed into a prime (13614398359) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 56328 + ... + 174360.

Almost surely, 213614398352 is an apocalyptic number.

13614398352 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 13614398352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19923549030).

13614398352 is an abundant number, since it is smaller than the sum of its proper divisors (26232699708).

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

13614398352 is a wasteful number, since it uses less digits than its factorization.

13614398352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118142 (or 118127 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 13614398352 in words is "thirteen billion, six hundred fourteen million, three hundred ninety-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 89 108 144 162 178 216 267 324 356 432 534 648 712 801 1068 1296 1424 1602 2136 2403 3204 4272 4806 6408 7209 9612 12816 14418 19224 28836 38448 57672 115344 118033 236066 354099 472132 708198 944264 1062297 1416396 1888528 2124594 2832792 3186891 4249188 5665584 6373782 8498376 9560673 10504937 12747564 16996752 19121346 21009874 25495128 31514811 38242692 42019748 50990256 63029622 76485384 84039496 94544433 126059244 152970768 168078992 189088866 252118488 283633299 378177732 504236976 567266598 756355464 850899897 1134533196 1512710928 1701799794 2269066392 3403599588 4538132784 6807199176 13614398352