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78369020928000 = 21332531119232961
BaseRepresentation
bin10001110100011010110101…
…101001110110000000000000
3101021111000010210222121222200
4101310122311221312000000
540232444223324144000
6434402121534433200
722335655252546155
oct2164326551660000
9337430123877880
1078369020928000
1122a7512a268410
128958536662800
133496222a8385a
14154d11bbdc22c
1590d8587d0500
hex4746b5a76000

78369020928000 has 5376 divisors, whose sum is σ = 355956403046400. Its totient is φ = 16349921280000.

The previous prime is 78369020927999. The next prime is 78369020928001. The reversal of 78369020928000 is 82902096387.

It is a happy number.

78369020928000 is a `hidden beast` number, since 78 + 3 + 6 + 90 + 209 + 280 + 0 + 0 = 666.

78369020928000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (78369020927999) and next prime (78369020928001).

It is a super-2 number, since 2×783690209280002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78369020928001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1284738047970 + ... + 1284738048030.

Almost surely, 278369020928000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78369020928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177978201523200).

78369020928000 is an abundant number, since it is smaller than the sum of its proper divisors (277587382118400).

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

78369020928000 is a wasteful number, since it uses less digits than its factorization.

78369020928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 78369020928000 in words is "seventy-eight trillion, three hundred sixty-nine billion, twenty million, nine hundred twenty-eight thousand".