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5031374400 = 2633521317231
BaseRepresentation
bin1001010111110010…
…01010111001000000
3110222122102022011000
410223321022321000
540301012440100
62151131452000
7235452656013
oct45371127100
913878368130
105031374400
112152097068
12b84bb7000
136224c5320
1435a30b37a
151e6aa2900
hex12be4ae40

5031374400 has 1008 divisors, whose sum is σ = 21659169280. Its totient is φ = 1128038400.

The previous prime is 5031374353. The next prime is 5031374419. The reversal of 5031374400 is 44731305.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 162302385 + ... + 162302415.

Almost surely, 25031374400 is an apocalyptic number.

5031374400 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 5031374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10829584640).

5031374400 is an abundant number, since it is smaller than the sum of its proper divisors (16627794880).

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

5031374400 is a wasteful number, since it uses less digits than its factorization.

5031374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5031374400 is about 70932.1816949119. The cubic root of 5031374400 is about 1713.5451229592.

The spelling of 5031374400 in words is "five billion, thirty-one million, three hundred seventy-four thousand, four hundred".