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6866052480 = 27355721753
BaseRepresentation
bin1100110010011111…
…11010010110000000
3122201111200121100000
412121033322112000
5103030202134410
63053151200000
7332101324500
oct63117722600
918644617300
106866052480
112a03786941
1213b7516000
13855637761
14491c4da00
152a2baadc0
hex1993fa580

6866052480 has 1152 divisors, whose sum is σ = 30855595680. Its totient is φ = 1449197568.

The previous prime is 6866052433. The next prime is 6866052509. The reversal of 6866052480 is 842506686.

6866052480 is a `hidden beast` number, since 68 + 6 + 60 + 52 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×68660524802 = 94285353316228300800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 129548134 + ... + 129548186.

Almost surely, 26866052480 is an apocalyptic number.

6866052480 is a gapful number since it is divisible by the number (60) 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 6866052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427797840).

6866052480 is an abundant number, since it is smaller than the sum of its proper divisors (23989543200).

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

6866052480 is a wasteful number, since it uses less digits than its factorization.

6866052480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 6866052480 is about 82861.6466165137. The cubic root of 6866052480 is about 1900.6509754608.

The spelling of 6866052480 in words is "six billion, eight hundred sixty-six million, fifty-two thousand, four hundred eighty".