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15152423340 = 223517531272207
BaseRepresentation
bin11100001110010011…
…11010000110101100
31110002222221212012110
432013021322012230
5222013010021330
610543321004020
71044330321225
oct160711720654
943088855173
1015152423340
116476169a1a
122b2a623610
1315762b5c92
14a3a58024c
155da3c1db0
hex38727a1ac

15152423340 has 192 divisors, whose sum is σ = 46151368704. Its totient is φ = 3700150272.

The previous prime is 15152423327. The next prime is 15152423347. The reversal of 15152423340 is 4332425151.

15152423340 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 15152423298 and 15152423307.

It is not an unprimeable number, because it can be changed into a prime (15152423347) 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 63 ways as a sum of consecutive naturals, for example, 6864517 + ... + 6866723.

It is an arithmetic number, because the mean of its divisors is an integer number (240371712).

Almost surely, 215152423340 is an apocalyptic number.

15152423340 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 15152423340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23075684352).

15152423340 is an abundant number, since it is smaller than the sum of its proper divisors (30998945364).

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

15152423340 is a wasteful number, since it uses less digits than its factorization.

15152423340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 15152423340 its reverse (4332425151), we get a palindrome (19484848491).

The spelling of 15152423340 in words is "fifteen billion, one hundred fifty-two million, four hundred twenty-three thousand, three hundred forty".