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152255790720 = 273751122931
BaseRepresentation
bin1000110111001100100…
…1101111111010000000
3112112222222010120000000
42031303021233322000
54443304440300340
6153540110000000
714000016603405
oct2156311577200
9475888116000
10152255790720
1159631474100
12256121a6000
1311485a15b77
1475251d22ac
153e61b6bd30
hex237326fe80

152255790720 has 1536 divisors, whose sum is σ = 640749312000. Its totient is φ = 34488115200.

The previous prime is 152255790703. The next prime is 152255790721. The reversal of 152255790720 is 27097552251.

152255790720 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 5 + 579 + 0 + 72 + 0 = 666.

152255790720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152255790721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4911477105 + ... + 4911477135.

It is an arithmetic number, because the mean of its divisors is an integer number (417154500).

Almost surely, 2152255790720 is an apocalyptic number.

152255790720 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 152255790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320374656000).

152255790720 is an abundant number, since it is smaller than the sum of its proper divisors (488493521280).

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

152255790720 is an equidigital number, since it uses as much as digits as its factorization.

152255790720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 152255790720 in words is "one hundred fifty-two billion, two hundred fifty-five million, seven hundred ninety thousand, seven hundred twenty".