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5073749280 = 253451723029
BaseRepresentation
bin1001011100110101…
…10100010100100000
3111002121011011120000
410232122310110200
540342334434110
62155244020000
7236506104645
oct45632642440
914077134500
105073749280
112173aa9a26
12b97231600
1362b210b12
14361bbbdcc
151ea6731c0
hex12e6b4520

5073749280 has 240 divisors, whose sum is σ = 18960230520. Its totient is φ = 1273356288.

The previous prime is 5073749251. The next prime is 5073749287. The reversal of 5073749280 is 829473705.

5073749280 is a `hidden beast` number, since 50 + 7 + 37 + 492 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5044976784 + 28772496 = 71028^2 + 5364^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5073749287) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 208806 + ... + 231834.

Almost surely, 25073749280 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 5073749280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9480115260).

5073749280 is an abundant number, since it is smaller than the sum of its proper divisors (13886481240).

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

5073749280 is a wasteful number, since it uses less digits than its factorization.

5073749280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23073 (or 23056 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 5073749280 is about 71230.2553694706. The cubic root of 5073749280 is about 1718.3422462722.

The spelling of 5073749280 in words is "five billion, seventy-three million, seven hundred forty-nine thousand, two hundred eighty".