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14959794769920 = 21236572112132
BaseRepresentation
bin1101100110110001100101…
…0000001101000000000000
31221222010211211010002000000
43121230121100031000000
53430100124430114140
651452233532000000
73102544442316300
oct331543120150000
957863754102000
1014959794769920
114848460168100
121817385000000
138469197a1500
1439a0b4d63600
151ae212b3da30
hexd9b1940d000

14959794769920 has 4914 divisors, whose sum is σ = 74522244140694. Its totient is φ = 2869411184640.

The previous prime is 14959794769919. The next prime is 14959794770021. The reversal of 14959794769920 is 2996749795941.

14959794769920 is a `hidden beast` number, since 1 + 4 + 9 + 59 + 7 + 9 + 476 + 9 + 92 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 70815596544 + 14888979173376 = 266112^2 + 3858624^2 .

It is a tau number, because it is divible by the number of its divisors (4914).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 14959794769920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 377 ways as a sum of consecutive naturals, for example, 1150753443834 + ... + 1150753443846.

Almost surely, 214959794769920 is an apocalyptic number.

14959794769920 is a gapful number since it is divisible by the number (10) 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 14959794769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37261122070347).

14959794769920 is an abundant number, since it is smaller than the sum of its proper divisors (59562449370774).

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

14959794769920 is an equidigital number, since it uses as much as digits as its factorization.

14959794769920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2777664960, while the sum is 81.

The spelling of 14959794769920 in words is "fourteen trillion, nine hundred fifty-nine billion, seven hundred ninety-four million, seven hundred sixty-nine thousand, nine hundred twenty".