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234270868930560 = 21537572111213
BaseRepresentation
bin110101010001000101101111…
…111011001000000000000000
31010201111002001122200220000000
4311101011233323020000000
5221201243214421234220
62150130315040000000
7100226340344651100
oct6521055773100000
91121432048626000
10234270868930560
116871179909a670
1222337320000000
13a094856c99057
1441bcab0597200
151c13dc9ce9390
hexd5116fec8000

234270868930560 has 3072 divisors, whose sum is σ = 1070959842028800. Its totient is φ = 48639529451520.

The previous prime is 234270868930559. The next prime is 234270868930589. The reversal of 234270868930560 is 65039868072432.

It is a happy number.

234270868930560 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 7 + 0 + 8 + 68 + 9 + 3 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 193133444514 + ... + 193133445726.

Almost surely, 2234270868930560 is an apocalyptic number.

234270868930560 is a gapful number since it is divisible by the number (20) 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 234270868930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535479921014400).

234270868930560 is an abundant number, since it is smaller than the sum of its proper divisors (836688973098240).

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

234270868930560 is an frugal number, since it uses more digits than its factorization.

234270868930560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 234270868930560 in words is "two hundred thirty-four trillion, two hundred seventy billion, eight hundred sixty-eight million, nine hundred thirty thousand, five hundred sixty".