Search a number
-
+
152256040300000 = 255571397172489
BaseRepresentation
bin100010100111100111011111…
…001100100110110111100000
3201222002112110020022112101201
4202213213133030212313200
5124424030332304100000
61255453243113210544
744033064420664330
oct4247473714466740
9658075406275351
10152256040300000
114457147349606a
12150b02a7a00a54
1366c58b56c8180
1429853359bb0c0
1512907e066e96a
hex8a79df326de0

152256040300000 has 576 divisors, whose sum is σ = 465887232558720. Its totient is φ = 47689482240000.

The previous prime is 152256040299983. The next prime is 152256040300057. The reversal of 152256040300000 is 3040652251.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 882613756 + ... + 882786244.

It is an arithmetic number, because the mean of its divisors is an integer number (808832000970).

Almost surely, 2152256040300000 is an apocalyptic number.

152256040300000 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 152256040300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232943616279360).

152256040300000 is an abundant number, since it is smaller than the sum of its proper divisors (313631192258720).

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

152256040300000 is an equidigital number, since it uses as much as digits as its factorization.

152256040300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172641 (or 172613 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 152256040300000 its reverse (3040652251), we get a palindrome (152259080952251).

The spelling of 152256040300000 in words is "one hundred fifty-two trillion, two hundred fifty-six billion, forty million, three hundred thousand".