Search a number
-
+
152339868720 = 2435513602801
BaseRepresentation
bin1000110111100000101…
…0011110110000110000
3112120012211100011100000
42031320022132300300
54443443001244340
6153552312030000
714002060342644
oct2157012366060
9476184304300
10152339868720
1159674980156
1225636392300
131149a273470
14753243ac24
153e69228d30
hex237829ec30

152339868720 has 240 divisors, whose sum is σ = 571369492512. Its totient is φ = 37498982400.

The previous prime is 152339868697. The next prime is 152339868721. The reversal of 152339868720 is 27868933251.

152339868720 is a `hidden beast` number, since 1 + 523 + 3 + 98 + 6 + 8 + 7 + 20 = 666.

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 (54).

It is not an unprimeable number, because it can be changed into a prime (152339868721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48681 + ... + 554120.

Almost surely, 2152339868720 is an apocalyptic number.

152339868720 is a gapful number since it is divisible by the number (10) 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 152339868720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285684746256).

152339868720 is an abundant number, since it is smaller than the sum of its proper divisors (419029623792).

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

152339868720 is a wasteful number, since it uses less digits than its factorization.

152339868720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602842 (or 602824 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 152339868720 in words is "one hundred fifty-two billion, three hundred thirty-nine million, eight hundred sixty-eight thousand, seven hundred twenty".