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20332856113920 = 283357313318191
BaseRepresentation
bin1001001111110000111001…
…01010100111101100000000
32122222210122200222001112000
410213320130222213230000
510131113142131121140
6111124441331504000
74166000062221660
oct447703452475400
978883580861460
1020332856113920
11652a130221a99
122344788458000
13b464c3120b6c
14504188c781a0
15253d86c8ea30
hex127e1caa7b00

20332856113920 has 1152 divisors, whose sum is σ = 85388647464960. Its totient is φ = 4483454976000.

The previous prime is 20332856113873. The next prime is 20332856113949. The reversal of 20332856113920 is 2931165823302.

20332856113920 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 2 + 8 + 5 + 611 + 3 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2482337025 + ... + 2482345215.

Almost surely, 220332856113920 is an apocalyptic number.

20332856113920 is a gapful number since it is divisible by the number (20) 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 20332856113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42694323732480).

20332856113920 is an abundant number, since it is smaller than the sum of its proper divisors (65055791351040).

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

20332856113920 is a wasteful number, since it uses less digits than its factorization.

20332856113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8590 (or 8570 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 20332856113920 in words is "twenty trillion, three hundred thirty-two billion, eight hundred fifty-six million, one hundred thirteen thousand, nine hundred twenty".