Search a number
-
+
196242803059968 = 2833723902919531
BaseRepresentation
bin101100100111101101010110…
…100100001110110100000000
3221201211121222100201210001000
4230213231112210032310000
5201210220230040404333
61533212411003412000
756223034413260610
oct5447552644166400
9851747870653030
10196242803059968
1157590118319405
121a015205824000
1385668034c3b42
1436662b9352a40
1517a4ad4181713
hexb27b5690ed00

196242803059968 has 576 divisors, whose sum is σ = 692176078540800. Its totient is φ = 53622887915520.

The previous prime is 196242803059943. The next prime is 196242803060041. The reversal of 196242803059968 is 869950308242691.

196242803059968 is a `hidden beast` number, since 1 + 9 + 6 + 2 + 4 + 28 + 0 + 3 + 0 + 599 + 6 + 8 = 666.

196242803059968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1962428030599682 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 196242803059896 and 196242803059905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10047750363 + ... + 10047769893.

It is an arithmetic number, because the mean of its divisors is an integer number (1201694580800).

Almost surely, 2196242803059968 is an apocalyptic number.

196242803059968 is a gapful number since it is divisible by the number (18) 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 196242803059968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346088039270400).

196242803059968 is an abundant number, since it is smaller than the sum of its proper divisors (495933275480832).

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

196242803059968 is a wasteful number, since it uses less digits than its factorization.

196242803059968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28615 (or 28595 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 196242803059968 in words is "one hundred ninety-six trillion, two hundred forty-two billion, eight hundred three million, fifty-nine thousand, nine hundred sixty-eight".