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64546048476 = 22347133170619
BaseRepresentation
bin111100000111001111…
…101000100111011100
320011121022202222220000
4330013033220213130
52024142242022401
645352501454300
74443340234230
oct740717504734
9204538688800
1064546048476
112541261a618
1210614411390
1361185375c0
1431a45485c0
151a2b8da186
hexf073e89dc

64546048476 has 240 divisors, whose sum is σ = 214377461760. Its totient is φ = 16473767040.

The previous prime is 64546048453. The next prime is 64546048481. The reversal of 64546048476 is 67484064546.

It is a happy number.

64546048476 is a `hidden beast` number, since 64 + 54 + 60 + 4 + 8 + 476 = 666.

It is a super-2 number, since 2×645460484762 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 878695 + ... + 949313.

It is an arithmetic number, because the mean of its divisors is an integer number (893239424).

Almost surely, 264546048476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64546048476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107188730880).

64546048476 is an abundant number, since it is smaller than the sum of its proper divisors (149831413284).

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

64546048476 is a wasteful number, since it uses less digits than its factorization.

64546048476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70686 (or 70675 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 64546048476 in words is "sixty-four billion, five hundred forty-six million, forty-eight thousand, four hundred seventy-six".