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64276146000 = 24335311241449
BaseRepresentation
bin111011110111001010…
…000010011101010000
320010220111220112022000
4323313022002131100
52023114143133000
645310020514000
74433552140443
oct736712023520
9203814815260
1064276146000
1125294232920
1210559b4b900
1360a4646cb1
14317a76b65a
151a12d74000
hexef7282750

64276146000 has 640 divisors, whose sum is σ = 252787392000. Its totient is φ = 15482880000.

The previous prime is 64276145939. The next prime is 64276146019. The reversal of 64276146000 is 64167246.

64276146000 is a `hidden beast` number, since 6 + 42 + 7 + 6 + 1 + 4 + 600 + 0 = 666.

64276146000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×642761460002 (a number of 22 digits) contains 22 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 143153776 + ... + 143154224.

It is an arithmetic number, because the mean of its divisors is an integer number (394980300).

Almost surely, 264276146000 is an apocalyptic number.

64276146000 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 64276146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126393696000).

64276146000 is an abundant number, since it is smaller than the sum of its proper divisors (188511246000).

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

64276146000 is a wasteful number, since it uses less digits than its factorization.

64276146000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 711 counting only the distinct ones).

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

It can be divided in two parts, 64276 and 146000, that added together give a triangular number (210276 = T648).

The spelling of 64276146000 in words is "sixty-four billion, two hundred seventy-six million, one hundred forty-six thousand".