| Base | Representation |
|---|---|
| bin | 110111001100101001010… |
| … | …110110101000110000000 |
| 3 | 111102121210010212120202000 |
| 4 | 313030221112311012000 |
| 5 | 444121332343112424 |
| 6 | 12022314332024000 |
| 7 | 541021535534400 |
| oct | 67145126650600 |
| 9 | 14377703776660 |
| 10 | 3793149972864 |
| 11 | 12327362aa71a |
| 12 | 51317a302000 |
| 13 | 216900593085 |
| 14 | d18375c0800 |
| 15 | 68a064933c9 |
| hex | 373295b5180 |
3793149972864 has 1536 divisors, whose sum is σ = 14989515264000. Its totient is φ = 934732431360.
The previous prime is 3793149972853. The next prime is 3793149972919. The reversal of 3793149972864 is 4682799413973.
It is a happy number.
3793149972864 is a `hidden beast` number, since 3 + 7 + 9 + 3 + 1 + 499 + 72 + 8 + 64 = 666.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 3793149972792 and 3793149972801.
It is a congruent number.
It is an unprimeable number.
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 191 ways as a sum of consecutive naturals, for example, 1695640354 + ... + 1695642590.
It is an arithmetic number, because the mean of its divisors is an integer number (9758799000).
Almost surely, 23793149972864 is an apocalyptic number.
3793149972864 is a gapful number since it is divisible by the number (34) 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 3793149972864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7494757632000).
3793149972864 is an abundant number, since it is smaller than the sum of its proper divisors (11196365291136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3793149972864 is a wasteful number, since it uses less digits than its factorization.
3793149972864 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2341 (or 2316 counting only the distinct ones).
The product of its digits is 493807104, while the sum is 72.
The spelling of 3793149972864 in words is "three trillion, seven hundred ninety-three billion, one hundred forty-nine million, nine hundred seventy-two thousand, eight hundred sixty-four".
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