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8315340800000 = 21455132312
BaseRepresentation
bin111100100000001000011…
…1011110100000000000000
31002102221100101201211000012
41321000100323310000000
52042214304221100000
625404003111444052
71515522616410203
oct171002073640000
932387311654005
108315340800000
112716575112643
12b2369a986628
13484196a53600
1420a670d9993a
15e647b306735
hex79010ef4000

8315340800000 has 810 divisors, whose sum is σ = 23257833563538. Its totient is φ = 2971238400000.

The previous prime is 8315340799967. The next prime is 8315340800003. The reversal of 8315340800000 is 80435138.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 7323388542976 + 991952257024 = 2706176^2 + 995968^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 8315340800000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8315340800003) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 268236799985 + ... + 268236800015.

Almost surely, 28315340800000 is an apocalyptic number.

8315340800000 is a gapful number since it is divisible by the number (80) 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 8315340800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11628916781769).

8315340800000 is an abundant number, since it is smaller than the sum of its proper divisors (14942492763538).

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

8315340800000 is an frugal number, since it uses more digits than its factorization.

8315340800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 8315340800000 in words is "eight trillion, three hundred fifteen billion, three hundred forty million, eight hundred thousand".