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196817440000000 = 211572379677
BaseRepresentation
bin101100110000000100100001…
…100110001100100000000000
3221210212120012210111220001211
4230300010201212030200000
5201244124104120000000
61534332403403335504
756312406432544441
oct5460044146144000
9853776183456054
10196817440000000
1157791897950616
121a0a8656521594
1385a8a6063b351
14368602cd432c8
1517b4a175137ba
hexb3012198c800

196817440000000 has 768 divisors, whose sum is σ = 520575542323200. Its totient is φ = 74241024000000.

The previous prime is 196817439999967. The next prime is 196817440000009. The reversal of 196817440000000 is 44718691.

It is a super-3 number, since 3×1968174400000003 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 196817439999899 and 196817439999908.

It is not an unprimeable number, because it can be changed into a prime (196817440000009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 290719999662 + ... + 290720000338.

It is an arithmetic number, because the mean of its divisors is an integer number (677832737400).

Almost surely, 2196817440000000 is an apocalyptic number.

196817440000000 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 196817440000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260287771161600).

196817440000000 is an abundant number, since it is smaller than the sum of its proper divisors (323758102323200).

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

196817440000000 is an frugal number, since it uses more digits than its factorization.

196817440000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

Adding to 196817440000000 its reverse (44718691), we get a palindrome (196817484718691).

The spelling of 196817440000000 in words is "one hundred ninety-six trillion, eight hundred seventeen billion, four hundred forty million", and thus it is an aban number.