Search a number
-
+
234767870064 = 2432713157114113
BaseRepresentation
bin1101101010100101000…
…0010110100001110000
3211102222101011111000200
43122221100112201300
512321301033320224
6255503442115200
722650523653450
oct3325120264160
9742871144020
10234767870064
1190623384612
12395bb34bb00
13191a5419260
14b511843d60
1561909505c9
hex36a9416870

234767870064 has 240 divisors, whose sum is σ = 813802621632. Its totient is φ = 61521887232.

The previous prime is 234767870063. The next prime is 234767870081. The reversal of 234767870064 is 460078767432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234767870063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2000272 + ... + 2114384.

Almost surely, 2234767870064 is an apocalyptic number.

234767870064 is a gapful number since it is divisible by the number (24) 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 234767870064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406901310816).

234767870064 is an abundant number, since it is smaller than the sum of its proper divisors (579034751568).

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

234767870064 is a wasteful number, since it uses less digits than its factorization.

234767870064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114304 (or 114295 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 234767870064 in words is "two hundred thirty-four billion, seven hundred sixty-seven million, eight hundred seventy thousand, sixty-four".