Search a number
-
+
2264660642504 = 23131737674871061
BaseRepresentation
bin100000111101001000010…
…010110000101011001000
322000111111002112111210202
4200331020102300223020
5244101011111030004
64452212025031332
7322421254563551
oct40751022605310
98014432474722
102264660642504
117a3489990807
12306aa6325548
13135730a71250
147b8783c9328
153dd97e25b1e
hex20f484b0ac8

2264660642504 has 256 divisors, whose sum is σ = 5062075845120. Its totient is φ = 940047482880.

The previous prime is 2264660642477. The next prime is 2264660642549. The reversal of 2264660642504 is 4052460664622.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2134458134 + ... + 2134459194.

It is an arithmetic number, because the mean of its divisors is an integer number (19773733770).

Almost surely, 22264660642504 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 2264660642504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531037922560).

2264660642504 is an abundant number, since it is smaller than the sum of its proper divisors (2797415202616).

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

2264660642504 is a wasteful number, since it uses less digits than its factorization.

2264660642504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 47.

The spelling of 2264660642504 in words is "two trillion, two hundred sixty-four billion, six hundred sixty million, six hundred forty-two thousand, five hundred four".