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3793968097920 = 273557111324371
BaseRepresentation
bin110111001101011010000…
…111101110101010000000
3111102200220011022122100000
4313031122013232222000
5444130021313113140
612022531435200000
7541051031510550
oct67153207565200
914380804278300
103793968097920
1112330160a0130
125133682a6000
13216a00c20b40
14d18b4107160
1568a531eaa30
hex3735a1eea80

3793968097920 has 1536 divisors, whose sum is σ = 18242453698560. Its totient is φ = 727684300800.

The previous prime is 3793968097901. The next prime is 3793968097921. The reversal of 3793968097920 is 297908693973.

3793968097920 is a `hidden beast` number, since 3 + 79 + 396 + 80 + 9 + 7 + 92 + 0 = 666.

3793968097920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×37939680979203 (a number of 39 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3793968097921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 155663335 + ... + 155687705.

It is an arithmetic number, because the mean of its divisors is an integer number (11876597460).

Almost surely, 23793968097920 is an apocalyptic number.

3793968097920 is a gapful number since it is divisible by the number (30) 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 3793968097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9121226849280).

3793968097920 is an abundant number, since it is smaller than the sum of its proper divisors (14448485600640).

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

3793968097920 is a wasteful number, since it uses less digits than its factorization.

3793968097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24436 (or 24412 counting only the distinct ones).

The product of its (nonzero) digits is 277766496, while the sum is 72.

The spelling of 3793968097920 in words is "three trillion, seven hundred ninety-three billion, nine hundred sixty-eight million, ninety-seven thousand, nine hundred twenty".