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1868028583344 = 2437112967269967
BaseRepresentation
bin11011001011101111001…
…011100001110110110000
320121120201010100021002120
4123023233023201312300
5221101210304131334
63550054355314240
7251650326654210
oct33135713416660
96546633307076
101868028583344
116602544881a0
12262052bab980
13107201112711
14665ad64a240
15338d2050949
hex1b2ef2e1db0

1868028583344 has 640 divisors, whose sum is σ = 6346908057600. Its totient is φ = 459288023040.

The previous prime is 1868028583301. The next prime is 1868028583349. The reversal of 1868028583344 is 4433858208681.

It is not an unprimeable number, because it can be changed into a prime (1868028583349) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1931776749 + ... + 1931777715.

It is an arithmetic number, because the mean of its divisors is an integer number (9917043840).

Almost surely, 21868028583344 is an apocalyptic number.

1868028583344 is a gapful number since it is divisible by the number (14) 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 1868028583344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173454028800).

1868028583344 is an abundant number, since it is smaller than the sum of its proper divisors (4478879474256).

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

1868028583344 is a wasteful number, since it uses less digits than its factorization.

1868028583344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 60.

The spelling of 1868028583344 in words is "one trillion, eight hundred sixty-eight billion, twenty-eight million, five hundred eighty-three thousand, three hundred forty-four".