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15068225536 = 213713172941
BaseRepresentation
bin11100000100010001…
…01110000000000000
31102220010112011112021
432002020232000000
5221324431204121
610531112211224
71042255542460
oct160210560000
942803464467
1015068225536
116432690961
122b06399b14
131561a15cb0
14a2d303ba0
155d2cde641
hex38222e000

15068225536 has 448 divisors, whose sum is σ = 41615441280. Its totient is φ = 5284823040.

The previous prime is 15068225533. The next prime is 15068225581. The reversal of 15068225536 is 63552286051.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 15068225492 and 15068225501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15068225533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367517676 + ... + 367517716.

It is an arithmetic number, because the mean of its divisors is an integer number (92891610).

Almost surely, 215068225536 is an apocalyptic number.

15068225536 is a gapful number since it is divisible by the number (16) 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 15068225536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20807720640).

15068225536 is an abundant number, since it is smaller than the sum of its proper divisors (26547215744).

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

15068225536 is a wasteful number, since it uses less digits than its factorization.

15068225536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 43.

The spelling of 15068225536 in words is "fifteen billion, sixty-eight million, two hundred twenty-five thousand, five hundred thirty-six".