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6870320064 = 2632235031031
BaseRepresentation
bin1100110011000000…
…01100001111000000
3122201210201102100200
412121200030033000
5103032300220224
63053422445200
7332152520436
oct63140141700
918653642320
106870320064
112a06131173
1213b8a33800
138564a005a
14492640d56
152a32505c9
hex19980c3c0

6870320064 has 168 divisors, whose sum is σ = 20609551872. Its totient is φ = 2184061440.

The previous prime is 6870320063. The next prime is 6870320101. The reversal of 6870320064 is 4600230786.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6870320063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6663229 + ... + 6664259.

It is an arithmetic number, because the mean of its divisors is an integer number (122675904).

Almost surely, 26870320064 is an apocalyptic number.

6870320064 is a gapful number since it is divisible by the number (64) 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 6870320064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10304775936).

6870320064 is an abundant number, since it is smaller than the sum of its proper divisors (13739231808).

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

6870320064 is a wasteful number, since it uses less digits than its factorization.

6870320064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6870320064 is about 82887.3938786834. The cubic root of 6870320064 is about 1901.0446761011.

The spelling of 6870320064 in words is "six billion, eight hundred seventy million, three hundred twenty thousand, sixty-four".