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5572426466880 = 2635572131931191
BaseRepresentation
bin101000100010110111010…
…0000000000011001000000
3201201201101222111120100000
41101011232200000121000
51212244312133420010
615503534250200000
71113410631306600
oct121055640003100
921651358446300
105572426466880
111859286516559
1275bb82423000
133156292810b0
141539c7970c00
1599e419b87c0
hex5116e800640

5572426466880 has 4032 divisors, whose sum is σ = 27198217912320. Its totient is φ = 1072266854400.

The previous prime is 5572426466857. The next prime is 5572426466903. The reversal of 5572426466880 is 886646242755.

5572426466880 is a `hidden beast` number, since 5 + 5 + 72 + 4 + 26 + 466 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5572426466857) and next prime (5572426466903).

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 29175007585 + ... + 29175007775.

It is an arithmetic number, because the mean of its divisors is an integer number (6745589760).

Almost surely, 25572426466880 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 5572426466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13599108956160).

5572426466880 is an abundant number, since it is smaller than the sum of its proper divisors (21625791445440).

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

5572426466880 is a wasteful number, since it uses less digits than its factorization.

5572426466880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

It can be divided in two parts, 5572426 and 466880, that added together give a palindrome (6039306).

The spelling of 5572426466880 in words is "five trillion, five hundred seventy-two billion, four hundred twenty-six million, four hundred sixty-six thousand, eight hundred eighty".