Search a number
-
+
234572903964672 = 2133721329516689
BaseRepresentation
bin110101010101011111000010…
…100111010110000000000000
31010202112221122222220100201220
4311111133002213112000000
5221221220301403332142
62150521145430555040
7100260222143251500
oct6525370247260000
91122487588810656
10234572903964672
116881889aa92139
1222385972b08a80
13a0b718c5ba450
1441cd563ab3a00
151c1bba5e8b2ec
hexd557c29d6000

234572903964672 has 672 divisors, whose sum is σ = 810601914175200. Its totient is φ = 59731976650752.

The previous prime is 234572903964667. The next prime is 234572903964743. The reversal of 234572903964672 is 276469309275432.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 234572903964597 and 234572903964606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 453734104 + ... + 454250792.

It is an arithmetic number, because the mean of its divisors is an integer number (1206252848475).

Almost surely, 2234572903964672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234572903964672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405300957087600).

234572903964672 is an abundant number, since it is smaller than the sum of its proper divisors (576029010210528).

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

234572903964672 is a wasteful number, since it uses less digits than its factorization.

234572903964672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516774 (or 516743 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 69.

The spelling of 234572903964672 in words is "two hundred thirty-four trillion, five hundred seventy-two billion, nine hundred three million, nine hundred sixty-four thousand, six hundred seventy-two".