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378038696829696 = 2832762360637
BaseRepresentation
bin101010111110100101111111…
…0001111000110001100000000
31211120112010221202212101102200
41111331023332033012030000
5344022241222342022241
63420004325123113200
7142425252216000000
oct12575137617061400
91746463852771380
10378038696829696
11aa500346a03771
1236496522812800
13132c2b85aaa226
14694d256000000
152da89c26874b6
hex157d2fe3c6300

378038696829696 has 756 divisors, whose sum is σ = 1326950936259312. Its totient is φ = 103313219530752.

The previous prime is 378038696829643. The next prime is 378038696829709. The reversal of 378038696829696 is 696928696830873.

378038696829696 is a `hidden beast` number, since 3 + 7 + 8 + 0 + 386 + 96 + 82 + 9 + 69 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 6234425490 + ... + 6234486126.

Almost surely, 2378038696829696 is an apocalyptic number.

378038696829696 is a gapful number since it is divisible by the number (36) 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 378038696829696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663475468129656).

378038696829696 is an abundant number, since it is smaller than the sum of its proper divisors (948912239429616).

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

378038696829696 is an frugal number, since it uses more digits than its factorization.

378038696829696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60724 (or 60672 counting only the distinct ones).

The product of its (nonzero) digits is 60949905408, while the sum is 90.

The spelling of 378038696829696 in words is "three hundred seventy-eight trillion, thirty-eight billion, six hundred ninety-six million, eight hundred twenty-nine thousand, six hundred ninety-six".