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5045937600 = 2635211227421
BaseRepresentation
bin1001011001100001…
…01110010111000000
3111000122211012002210
410230300232113000
540313230000400
62152411542120
7236020522224
oct45460562700
914018735083
105045937600
11215a333670
12b89a5a940
13625523bc2
1435c21c784
151e7ecc950
hex12cc2e5c0

5045937600 has 336 divisors, whose sum is σ = 18182514816. Its totient is φ = 1214976000.

The previous prime is 5045937599. The next prime is 5045937601. The reversal of 5045937600 is 67395405.

It is an interprime number because it is at equal distance from previous prime (5045937599) and next prime (5045937601).

It is a super-2 number, since 2×50459376002 = 50922972526187520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5045937601) 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, 11985390 + ... + 11985810.

Almost surely, 25045937600 is an apocalyptic number.

5045937600 is a gapful number since it is divisible by the number (50) 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 5045937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9091257408).

5045937600 is an abundant number, since it is smaller than the sum of its proper divisors (13136577216).

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

5045937600 is a wasteful number, since it uses less digits than its factorization.

5045937600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 5045937600 is about 71034.7633205039. The cubic root of 5045937600 is about 1715.1968030009.

The spelling of 5045937600 in words is "five billion, forty-five million, nine hundred thirty-seven thousand, six hundred".