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1868372352 = 273372111759
BaseRepresentation
bin110111101011101…
…0001100110000000
311211012200011001000
41233113101212000
512311300403402
6505221412000
764204621500
oct15727214600
94735604030
101868372352
11879713890
1244186a000
1323a10ba92
1413a1d3a00
15ae061c1c
hex6f5d1980

1868372352 has 768 divisors, whose sum is σ = 7534944000. Its totient is φ = 449003520.

The previous prime is 1868372351. The next prime is 1868372497. The reversal of 1868372352 is 2532738681.

It is a junction number, because it is equal to n+sod(n) for n = 1868372298 and 1868372307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1868372351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31667299 + ... + 31667357.

It is an arithmetic number, because the mean of its divisors is an integer number (9811125).

Almost surely, 21868372352 is an apocalyptic number.

1868372352 is a gapful number since it is divisible by the number (12) 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 1868372352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767472000).

1868372352 is an abundant number, since it is smaller than the sum of its proper divisors (5666571648).

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

1868372352 is a wasteful number, since it uses less digits than its factorization.

1868372352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 1868372352 is about 43224.6729542284. The cubic root of 1868372352 is about 1231.6514165322.

The spelling of 1868372352 in words is "one billion, eight hundred sixty-eight million, three hundred seventy-two thousand, three hundred fifty-two".