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65855040384 = 2737247113659
BaseRepresentation
bin111101010101010001…
…000010101110000000
320021222112212200012210
4331111101002232000
52034332342243014
650130422022120
74520643415200
oct752521025600
9207875780183
1065855040384
1125a244a9611
121091a877940
1362967a0323
14328a32a400
151aa67a4859
hexf55442b80

65855040384 has 384 divisors, whose sum is σ = 209973772800. Its totient is φ = 18224726016.

The previous prime is 65855040373. The next prime is 65855040437. The reversal of 65855040384 is 48304055856.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99931447 + ... + 99932105.

It is an arithmetic number, because the mean of its divisors is an integer number (546806700).

Almost surely, 265855040384 is an apocalyptic number.

65855040384 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 65855040384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104986886400).

65855040384 is an abundant number, since it is smaller than the sum of its proper divisors (144118732416).

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

65855040384 is a wasteful number, since it uses less digits than its factorization.

65855040384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 65855040384 in words is "sixty-five billion, eight hundred fifty-five million, forty thousand, three hundred eighty-four".