Search a number
-
+
14675135902596 = 22381321721072
BaseRepresentation
bin1101010110001101001001…
…0000110011001110000100
31220221221002110020100000000
43111203102100303032010
53410414134242340341
651113355300321300
73043146356006151
oct325432220631604
956857073210000
1014675135902596
114748765700954
1217901813a3230
13825b2308ba00
1438a3cd485228
151a6b021ca8b6
hexd58d2433384

14675135902596 has 729 divisors, whose sum is σ = 44727214301679. Its totient is φ = 4210095232512.

The previous prime is 14675135902499. The next prime is 14675135902601. The reversal of 14675135902596 is 69520953157641.

The square root of 14675135902596 is 3830814.

It is a perfect power (a square), and thus also a powerful number.

14675135902596 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 5 + 1 + 35 + 9 + 0 + 2 + 596 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 132506192196 + 14542629710400 = 364014^2 + 3813480^2 .

It is a tau number, because it is divible by the number of its divisors (729).

It is a super-2 number, since 2×146751359025962 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 242 ways as a sum of consecutive naturals, for example, 137150802775 + ... + 137150802881.

Almost surely, 214675135902596 is an apocalyptic number.

14675135902596 is the 3830814-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14675135902596

14675135902596 is an abundant number, since it is smaller than the sum of its proper divisors (30052078399083).

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

14675135902596 is an equidigital number, since it uses as much as digits as its factorization.

14675135902596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 14675135902596 in words is "fourteen trillion, six hundred seventy-five billion, one hundred thirty-five million, nine hundred two thousand, five hundred ninety-six".