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5152387968 = 273471343127
BaseRepresentation
bin1001100110001101…
…10011001110000000
3111022002010102120000
410303012303032000
541023002403333
62211133320000
7241452401160
oct46306631600
914262112500
105152387968
112204430382
12bb9636000
136415b56a0
1436c40c5a0
15202508713
hex1331b3380

5152387968 has 640 divisors, whose sum is σ = 19462840320. Its totient is φ = 1316818944.

The previous prime is 5152387967. The next prime is 5152387969. The reversal of 5152387968 is 8697832515.

5152387968 is a `hidden beast` number, since 51 + 523 + 8 + 7 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (5152387967) and next prime (5152387969).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3628800) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5152387963) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40569921 + ... + 40570047.

It is an arithmetic number, because the mean of its divisors is an integer number (30410688).

Almost surely, 25152387968 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 5152387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9731420160).

5152387968 is an abundant number, since it is smaller than the sum of its proper divisors (14310452352).

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

5152387968 is a wasteful number, since it uses less digits than its factorization.

5152387968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 195 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 5152387968 is about 71780.1363052481. The cubic root of 5152387968 is about 1727.1743741033.

The spelling of 5152387968 in words is "five billion, one hundred fifty-two million, three hundred eighty-seven thousand, nine hundred sixty-eight".