| Base | Representation |
|---|---|
| bin | 1011000000100011010… |
| … | …01011011000100000000 |
| 3 | 1100011100010010010200000 |
| 4 | 11200101221123010000 |
| 5 | 22144130304142342 |
| 6 | 445433410400000 |
| 7 | 36220316044500 |
| oct | 5402151330400 |
| 9 | 1304303103600 |
| 10 | 378253193472 |
| 11 | 136464080820 |
| 12 | 61384290000 |
| 13 | 298910a949b |
| 14 | 14443ccda00 |
| 15 | 9c8c63044c |
| hex | 5811a5b100 |
378253193472 has 1296 divisors, whose sum is σ = 1488552811200. Its totient is φ = 94615879680.
The previous prime is 378253193459. The next prime is 378253193503. The reversal of 378253193472 is 274391352873.
It is a happy number.
378253193472 is a `hidden beast` number, since 3 + 7 + 8 + 2 + 531 + 9 + 34 + 72 = 666.
It is a tau number, because it is divible by the number of its divisors (1296).
It is a super-3 number, since 3×3782531934723 (a number of 36 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
Its product of digits (7620480) is a multiple of the sum of its prime divisors (441).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 972373054 + ... + 972373442.
It is an arithmetic number, because the mean of its divisors is an integer number (1148574700).
Almost surely, 2378253193472 is an apocalyptic number.
378253193472 is a gapful number since it is divisible by the number (32) 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 378253193472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744276405600).
378253193472 is an abundant number, since it is smaller than the sum of its proper divisors (1110299617728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
378253193472 is a wasteful number, since it uses less digits than its factorization.
378253193472 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 474 (or 441 counting only the distinct ones).
The product of its digits is 7620480, while the sum is 54.
The spelling of 378253193472 in words is "three hundred seventy-eight billion, two hundred fifty-three million, one hundred ninety-three thousand, four hundred seventy-two".
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