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65130868800 = 263452502553
BaseRepresentation
bin111100101010000110…
…100011000001000000
320020010002012221120000
4330222012203001000
52031342000300200
645530512320000
74464001151604
oct745206430100
9206102187500
1065130868800
112569274a7a8
1210758243000
1361ac749b2a
14321c09d504
151a62e0a300
hexf2a1a3040

65130868800 has 210 divisors, whose sum is σ = 239405166858. Its totient is φ = 17368197120.

The previous prime is 65130868799. The next prime is 65130868811. The reversal of 65130868800 is 886803156.

It can be written as a sum of positive squares in 3 ways, for example, as 18971205696 + 46159663104 = 137736^2 + 214848^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 121677 + ... + 380876.

Almost surely, 265130868800 is an apocalyptic number.

65130868800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

65130868800 is an abundant number, since it is smaller than the sum of its proper divisors (174274298058).

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

65130868800 is a wasteful number, since it uses less digits than its factorization.

65130868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502587 (or 502563 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 65130868800 in words is "sixty-five billion, one hundred thirty million, eight hundred sixty-eight thousand, eight hundred".