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9196839823680 = 2632526331212817
BaseRepresentation
bin1000010111010100111001…
…0111101110100101000000
31012120012122120122220220100
42011311032113232211000
52201140111443324210
631320545255042400
71636310156444235
oct205651627564500
935505576586810
109196839823680
112a263a3357063
1210464ab070400
13519348574842
1423b1b51c778c
1510e36e4bc5c0
hex85d4e5ee940

9196839823680 has 168 divisors, whose sum is σ = 31645337234472. Its totient is φ = 2451557154816.

The previous prime is 9196839823643. The next prime is 9196839823757. The reversal of 9196839823680 is 863289386919.

9196839823680 is a `hidden beast` number, since 91 + 96 + 8 + 3 + 98 + 2 + 368 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1268380498176 + 7928459325504 = 1126224^2 + 2815752^2 .

It is a super-3 number, since 3×91968398236803 (a number of 40 digits) contains 333 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 = 9196839823599 and 9196839823608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6976632 + ... + 8189448.

Almost surely, 29196839823680 is an apocalyptic number.

9196839823680 is a gapful number since it is divisible by the number (90) 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 9196839823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15822668617236).

9196839823680 is an abundant number, since it is smaller than the sum of its proper divisors (22448497410792).

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

9196839823680 is a wasteful number, since it uses less digits than its factorization.

9196839823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215473 (or 1215460 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 9196839823680 in words is "nine trillion, one hundred ninety-six billion, eight hundred thirty-nine million, eight hundred twenty-three thousand, six hundred eighty".