Search a number
-
+
196168246095360 = 29357113159672707
BaseRepresentation
bin101100100110100111111010…
…100111111110111000000000
3221201120111112100122112220110
4230212213322213332320000
5201203010032000022420
61533114240445111320
756214455003445060
oct5446477247767000
9851514470575813
10196168246095360
1157561538909390
121a002878858540
13855c780c49536
1436628454433a0
1517a2bbd97dee0
hexb269fa9fee00

196168246095360 has 2560 divisors, whose sum is σ = 833329794908160. Its totient is φ = 38185825075200.

The previous prime is 196168246095347. The next prime is 196168246095407. The reversal of 196168246095360 is 63590642861691.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×1961682460953602 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (66) 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 (66).

It is a junction number, because it is equal to n+sod(n) for n = 196168246095291 and 196168246095300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 72467027127 + ... + 72467029833.

It is an arithmetic number, because the mean of its divisors is an integer number (325519451136).

Almost surely, 2196168246095360 is an apocalyptic number.

196168246095360 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 196168246095360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416664897454080).

196168246095360 is an abundant number, since it is smaller than the sum of its proper divisors (637161548812800).

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

196168246095360 is a wasteful number, since it uses less digits than its factorization.

196168246095360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 66.

The spelling of 196168246095360 in words is "one hundred ninety-six trillion, one hundred sixty-eight billion, two hundred forty-six million, ninety-five thousand, three hundred sixty".