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52672549985280 = 210355172324571
BaseRepresentation
bin10111111100111110010001…
…01000011001110000000000
320220111110001120110021200000
423332133020220121300000
523400441340244012110
6304005234014400000
714044315614446241
oct1376371050316000
9226443046407600
1052672549985280
1115868337329195
125aa8362500000
132351000440104
14d01517896cc8
15615201dbc1c0
hex2fe7c8a19c00

52672549985280 has 528 divisors, whose sum is σ = 189386162818944. Its totient is φ = 14037289943040.

The previous prime is 52672549985257. The next prime is 52672549985287. The reversal of 52672549985280 is 8258994527625.

It is a happy number.

52672549985280 is a `hidden beast` number, since 5 + 2 + 6 + 7 + 2 + 5 + 4 + 9 + 98 + 528 + 0 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 52672549985199 and 52672549985208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52672549985287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2143675395 + ... + 2143699965.

Almost surely, 252672549985280 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 52672549985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94693081409472).

52672549985280 is an abundant number, since it is smaller than the sum of its proper divisors (136713612833664).

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

52672549985280 is a wasteful number, since it uses less digits than its factorization.

52672549985280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26334 (or 26304 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 72.

The spelling of 52672549985280 in words is "fifty-two trillion, six hundred seventy-two billion, five hundred forty-nine million, nine hundred eighty-five thousand, two hundred eighty".