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13124395008 = 2133519347
BaseRepresentation
bin11000011100100011…
…00110000000000000
31020212122212100100000
430032101212000000
5203334321120013
610010153200000
7643143342204
oct141621460000
936778770300
1013124395008
11562541924a
122663400000
1313120a720a
148c70aab04
1551c324973
hex30e466000

13124395008 has 336 divisors, whose sum is σ = 41505347520. Its totient is φ = 4132601856.

The previous prime is 13124394967. The next prime is 13124395013. The reversal of 13124395008 is 80059342131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37822291 + ... + 37822637.

It is an arithmetic number, because the mean of its divisors is an integer number (123527820).

Almost surely, 213124395008 is an apocalyptic number.

13124395008 is a gapful number since it is divisible by the number (18) 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 13124395008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20752673760).

13124395008 is an abundant number, since it is smaller than the sum of its proper divisors (28380952512).

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

13124395008 is an frugal number, since it uses more digits than its factorization.

13124395008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13124395008 in words is "thirteen billion, one hundred twenty-four million, three hundred ninety-five thousand, eight".