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4723066272960 = 263557232913009
BaseRepresentation
bin100010010111010110010…
…1011111111110011000000
3121201112001121110011200000
41010232230223333303000
51104340314431213320
614013425141400000
7665141661630630
oct104565453776300
917645047404600
104723066272960
11156104a865572
12643441409000
132834c9c89aa9
14124851c646c0
1582cd00b3c90
hex44bacaffcc0

4723066272960 has 1344 divisors, whose sum is σ = 20785292236800. Its totient is φ = 996936450048.

The previous prime is 4723066272943. The next prime is 4723066272973. The reversal of 4723066272960 is 692726603274.

4723066272960 is a `hidden beast` number, since 4 + 7 + 2 + 3 + 0 + 6 + 627 + 2 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4723066272897 and 4723066272906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 363054936 + ... + 363067944.

It is an arithmetic number, because the mean of its divisors is an integer number (15465247200).

Almost surely, 24723066272960 is an apocalyptic number.

4723066272960 is a gapful number since it is divisible by the number (40) 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 4723066272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10392646118400).

4723066272960 is an abundant number, since it is smaller than the sum of its proper divisors (16062225963840).

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

4723066272960 is a wasteful number, since it uses less digits than its factorization.

4723066272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13100 (or 13078 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 4723066272960 in words is "four trillion, seven hundred twenty-three billion, sixty-six million, two hundred seventy-two thousand, nine hundred sixty".