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108438994944 = 2143671297
BaseRepresentation
bin110010011111101110…
…1111100000000000000
3101100220022002201000000
41210333131330000000
53234040340314234
6121452144000000
710556135151210
oct1447735740000
9340808081000
10108438994944
1141a96a92995
1219024000000
13a2c1c98387
145369b60240
152c4a04c899
hex193f77c000

108438994944 has 420 divisors, whose sum is σ = 371896013104. Its totient is φ = 30958682112.

The previous prime is 108438994931. The next prime is 108438994967. The reversal of 108438994944 is 449499834801.

108438994944 is a `hidden beast` number, since 1 + 0 + 84 + 389 + 94 + 94 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 83606904 + ... + 83608200.

Almost surely, 2108438994944 is an apocalyptic number.

108438994944 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 108438994944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185948006552).

108438994944 is an abundant number, since it is smaller than the sum of its proper divisors (263457018160).

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

108438994944 is an frugal number, since it uses more digits than its factorization.

108438994944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 108438994944 in words is "one hundred eight billion, four hundred thirty-eight million, nine hundred ninety-four thousand, nine hundred forty-four".