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66124084048 = 24112375121751
BaseRepresentation
bin111101100101010011…
…010111001101010000
320022200022010111201221
4331211103113031100
52040410231142143
650213232334424
74530421304101
oct754523271520
9208608114657
1066124084048
112605235a050
12109949a4414
13630a44ca69
1432b3d623a8
151ac01eb2ed
hexf654d7350

66124084048 has 80 divisors (see below), whose sum is σ = 146039795712. Its totient is φ = 28710000000.

The previous prime is 66124084027. The next prime is 66124084067. The reversal of 66124084048 is 84048042166.

It is a junction number, because it is equal to n+sod(n) for n = 66124083995 and 66124084013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3029173 + ... + 3050923.

Almost surely, 266124084048 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 66124084048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73019897856).

66124084048 is an abundant number, since it is smaller than the sum of its proper divisors (79915711664).

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

66124084048 is a wasteful number, since it uses less digits than its factorization.

66124084048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22544 (or 22538 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The spelling of 66124084048 in words is "sixty-six billion, one hundred twenty-four million, eighty-four thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 751 1012 1502 2024 3004 4048 6008 8261 12016 16522 17273 21751 33044 34546 43502 66088 69092 87004 132176 138184 174008 190003 239261 276368 348016 380006 478522 500273 760012 957044 1000546 1520024 1914088 2001092 3040048 3828176 4002184 5503003 8004368 11006006 16335001 22012012 32670002 44024024 65340004 88048048 130680008 179685011 261360016 359370022 375705023 718740044 751410046 1437480088 1502820092 2874960176 3005640184 4132755253 6011280368 8265510506 16531021012 33062042024 66124084048