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234996135696 = 2432722921992
BaseRepresentation
bin1101101011011011011…
…1000111011100010000
3211110120021200120121100
43122312313013130100
512322233002320241
6255542234424400
722656265124100
oct3326667073420
9743507616540
10234996135696
11907302129a3
1239663892100
13192107bbc8a
14b533ca3200
1561a59de9b6
hex36b6dc7710

234996135696 has 405 divisors, whose sum is σ = 796328099541. Its totient is φ = 64500758784.

The previous prime is 234996135641. The next prime is 234996135697. The reversal of 234996135696 is 696531699432.

The square root of 234996135696 is 484764.

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

234996135696 is a `hidden beast` number, since 2 + 3 + 4 + 9 + 9 + 61 + 3 + 569 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 123226273296 + 111769862400 = 351036^2 + 334320^2 .

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

Its product of digits (56687040) is a multiple of the sum of its prime divisors (240).

It is not an unprimeable number, because it can be changed into a prime (234996135697) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1180885005 + ... + 1180885203.

Almost surely, 2234996135696 is an apocalyptic number.

234996135696 is the 484764-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234996135696

234996135696 is an abundant number, since it is smaller than the sum of its proper divisors (561331963845).

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

234996135696 is a wasteful number, since it uses less digits than its factorization.

234996135696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 240 counting only the distinct ones).

The product of its digits is 56687040, while the sum is 63.

The spelling of 234996135696 in words is "two hundred thirty-four billion, nine hundred ninety-six million, one hundred thirty-five thousand, six hundred ninety-six".