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107952990912 = 263213172929243
BaseRepresentation
bin110010010001001111…
…1111110101011000000
3101022122102121010210200
41210202133332223000
53232041431202122
6121332023125200
710541114165634
oct1444237765300
9338572533720
10107952990912
1141867715968
1218b092a3800
13a2453a3920
1453213acdc4
152c1c54b5ac
hex19227feac0

107952990912 has 336 divisors, whose sum is σ = 365010740640. Its totient is φ = 30183358464.

The previous prime is 107952990907. The next prime is 107952990917. The reversal of 107952990912 is 219099259701.

107952990912 is a `hidden beast` number, since 10 + 7 + 9 + 529 + 90 + 9 + 12 = 666.

107952990912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (107952990907) and next prime (107952990917).

It is not an unprimeable number, because it can be changed into a prime (107952990917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3676963 + ... + 3706205.

It is an arithmetic number, because the mean of its divisors is an integer number (1086341490).

Almost surely, 2107952990912 is an apocalyptic number.

107952990912 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 107952990912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182505370320).

107952990912 is an abundant number, since it is smaller than the sum of its proper divisors (257057749728).

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

107952990912 is a wasteful number, since it uses less digits than its factorization.

107952990912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29320 (or 29307 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 54.

The spelling of 107952990912 in words is "one hundred seven billion, nine hundred fifty-two million, nine hundred ninety thousand, nine hundred twelve".