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252260311644 = 2232112293116421
BaseRepresentation
bin1110101011101111100…
…0101110001001011100
3220010010110021120210100
43222323320232021130
513113112114433034
6311515313541100
724140150161425
oct3527370561134
9803113246710
10252260311644
1197a8a407900
1240a81574790
131aa324492c3
14c2d0aac64c
15686649b099
hex3abbe2e25c

252260311644 has 216 divisors, whose sum is σ = 727510361760. Its totient is φ = 73557792000.

The previous prime is 252260311627. The next prime is 252260311661. The reversal of 252260311644 is 446113062252.

252260311644 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 6 + 0 + 3 + 1 + 1 + 644 = 666.

It is an interprime number because it is at equal distance from previous prime (252260311627) and next prime (252260311661).

It is a super-3 number, since 3×2522603116443 (a number of 35 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 252260311599 and 252260311608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39283554 + ... + 39289974.

Almost surely, 2252260311644 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 252260311644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363755180880).

252260311644 is an abundant number, since it is smaller than the sum of its proper divisors (475250050116).

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

252260311644 is a wasteful number, since it uses less digits than its factorization.

252260311644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6793 (or 6777 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 252260311644 its reverse (446113062252), we get a palindrome (698373373896).

The spelling of 252260311644 in words is "two hundred fifty-two billion, two hundred sixty million, three hundred eleven thousand, six hundred forty-four".