Search a number
-
+
109613196000000 = 2833567311269
BaseRepresentation
bin11000111011000101001111…
…100111000011101100000000
3112101002220211002120200001000
4120323011033213003230000
5103331400311134000000
61025043335043412000
732042202116001000
oct3073051747035400
9471086732520030
10109613196000000
1131a20771593a20
1210363931684000
13492163181b554
141d0d442568000
15ca1456585000
hex63b14f9c3b00

109613196000000 has 4032 divisors, whose sum is σ = 517380877440000. Its totient is φ = 22692096000000.

The previous prime is 109613195999971. The next prime is 109613196000037. The reversal of 109613196000000 is 691316901.

109613196000000 is a `hidden beast` number, since 10 + 9 + 6 + 1 + 31 + 9 + 600 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 407483999866 + ... + 407484000134.

It is an arithmetic number, because the mean of its divisors is an integer number (128318670000).

Almost surely, 2109613196000000 is an apocalyptic number.

109613196000000 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 109613196000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258690438720000).

109613196000000 is an abundant number, since it is smaller than the sum of its proper divisors (407767681440000).

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

109613196000000 is an frugal number, since it uses more digits than its factorization.

109613196000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 109613196000000 in words is "one hundred nine trillion, six hundred thirteen billion, one hundred ninety-six million", and thus it is an aban number.