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5037742080 = 211335719137
BaseRepresentation
bin1001011000100010…
…11101100000000000
3111000002101210222000
410230101131200000
540304130221310
62151520144000
7235561046460
oct45421354000
914002353860
105037742080
112155746208
12b87168000
13623914797
1435b0c7ba0
151e740e4c0
hex12c45d800

5037742080 has 768 divisors, whose sum is σ = 21700224000. Its totient is φ = 1082916864.

The previous prime is 5037742069. The next prime is 5037742091. The reversal of 5037742080 is 802477305.

5037742080 is a `hidden beast` number, since 503 + 7 + 74 + 2 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5037742069) and next prime (5037742091).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36771772 + ... + 36771908.

It is an arithmetic number, because the mean of its divisors is an integer number (28255500).

Almost surely, 25037742080 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 5037742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10850112000).

5037742080 is an abundant number, since it is smaller than the sum of its proper divisors (16662481920).

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

5037742080 is a wasteful number, since it uses less digits than its factorization.

5037742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 5037742080 is about 70977.0531932680. The cubic root of 5037742080 is about 1714.2677026679.

The spelling of 5037742080 in words is "five billion, thirty-seven million, seven hundred forty-two thousand, eighty".