Search a number
-
+
45420482080 = 255299788897
BaseRepresentation
bin101010010011010001…
…011000111000100000
311100020102122120001001
4222103101120320200
51221010120411310
632511010321344
73165363504361
oct522321307040
9140212576031
1045420482080
11182987504a6
128977289254
13438b0743cc
1422ac445b68
1512ac7ea93a
hexa93458e20

45420482080 has 48 divisors (see below), whose sum is σ = 111006103320. Its totient is φ = 17541701632.

The previous prime is 45420482059. The next prime is 45420482101. The reversal of 45420482080 is 8028402454.

It is an interprime number because it is at equal distance from previous prime (45420482059) and next prime (45420482101).

It can be written as a sum of positive squares in 4 ways, for example, as 32936442256 + 12484039824 = 181484^2 + 111732^2 .

It is a super-2 number, since 2×454204820802 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4889809 + ... + 4899088.

Almost surely, 245420482080 is an apocalyptic number.

45420482080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45420482080 is an abundant number, since it is smaller than the sum of its proper divisors (65585621240).

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

45420482080 is a wasteful number, since it uses less digits than its factorization.

45420482080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9788941 (or 9788933 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 37.

The spelling of 45420482080 in words is "forty-five billion, four hundred twenty million, four hundred eighty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 9788897 19577794 39155588 48944485 78311176 97888970 156622352 195777940 283878013 313244704 391555880 567756026 783111760 1135512052 1419390065 1566223520 2271024104 2838780130 4542048208 5677560260 9084096416 11355120520 22710241040 45420482080