Base | Representation |
---|---|
bin | 1001101001111111011… |
… | …01010101000100000000 |
3 | 1011201101102002211100000 |
4 | 10310333231111010000 |
5 | 20413442010013102 |
6 | 412230201200000 |
7 | 32653564523550 |
oct | 4647755250400 |
9 | 1151342084300 |
10 | 331781329152 |
11 | 118786a02289 |
12 | 54374a90000 |
13 | 25396277610 |
14 | 120b5da3160 |
15 | 896c8a401c |
hex | 4d3fb55100 |
331781329152 has 1728 divisors, whose sum is σ = 1319943905280. Its totient is φ = 80764895232.
The previous prime is 331781329129. The next prime is 331781329153. The reversal of 331781329152 is 251923187133.
331781329152 is a `hidden beast` number, since 3 + 3 + 178 + 1 + 329 + 152 = 666.
It is a tau number, because it is divible by the number of its divisors (1728).
It is a super-2 number, since 2×3317813291522 (a number of 24 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
Its product of digits (272160) is a multiple of the sum of its prime divisors (144).
It is a junction number, because it is equal to n+sod(n) for n = 331781329098 and 331781329107.
It is not an unprimeable number, because it can be changed into a prime (331781329153) 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, 7059177193 + ... + 7059177239.
Almost surely, 2331781329152 is an apocalyptic number.
331781329152 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 331781329152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659971952640).
331781329152 is an abundant number, since it is smaller than the sum of its proper divisors (988162576128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
331781329152 is a wasteful number, since it uses less digits than its factorization.
331781329152 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 170 (or 144 counting only the distinct ones).
The product of its digits is 272160, while the sum is 45.
The spelling of 331781329152 in words is "three hundred thirty-one billion, seven hundred eighty-one million, three hundred twenty-nine thousand, one hundred fifty-two".
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