Search a number
-
+
45214773160 = 2351130369329
BaseRepresentation
bin101010000111000000…
…101010111110101000
311022201002120110110011
4222013000222332220
51220044440220120
632434341301304
73160315142044
oct520700527650
9138632513404
1045214773160
11181a2619327
12891a404834
13435756b75b
14228cdb9024
151299714c5a
hexa8702afa8

45214773160 has 16 divisors (see below), whose sum is σ = 101733239700. Its totient is φ = 18085909248.

The previous prime is 45214773127. The next prime is 45214773167. The reversal of 45214773160 is 6137741254.

It can be written as a sum of positive squares in 2 ways, for example, as 37040081764 + 8174691396 = 192458^2 + 90414^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 1130369329 = 45214773160 / (4 + 5 + 2 + 1 + 4 + 7 + 7 + 3 + 1 + 6 + 0).

It is not an unprimeable number, because it can be changed into a prime (45214773167) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 565184625 + ... + 565184704.

Almost surely, 245214773160 is an apocalyptic number.

45214773160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45214773160 is an abundant number, since it is smaller than the sum of its proper divisors (56518466540).

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

45214773160 is a wasteful number, since it uses less digits than its factorization.

45214773160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130369340 (or 1130369336 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 45214773160 in words is "forty-five billion, two hundred fourteen million, seven hundred seventy-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 1130369329 2260738658 4521477316 5651846645 9042954632 11303693290 22607386580 45214773160