Base | Representation |
---|---|
bin | 101001011010000000101001… |
… | …1101011110011000100000000 |
3 | 1202202120120121211112121100000 |
4 | 1102310001103223303010000 |
5 | 340214243030424103242 |
6 | 3330341520321200000 |
7 | 136500432035420640 |
oct | 12264012353630400 |
9 | 1682516554477300 |
10 | 364214630691072 |
11 | a6060614a73117 |
12 | 34a2329aa90000 |
13 | 1282c3a5260045 |
14 | 65d212171c520 |
15 | 2c190d2005a4c |
hex | 14b4053af3100 |
364214630691072 has 864 divisors, whose sum is σ = 1289273958685440. Its totient is φ = 100382093475840.
The previous prime is 364214630691071. The next prime is 364214630691227. The reversal of 364214630691072 is 270196036412463.
364214630691072 is a `hidden beast` number, since 3 + 6 + 4 + 21 + 463 + 0 + 6 + 91 + 0 + 72 = 666.
It is a tau number, because it is divible by the number of its divisors (864).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (364214630691071) by changing a digit.
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 95 ways as a sum of consecutive naturals, for example, 1588864338 + ... + 1589093550.
It is an arithmetic number, because the mean of its divisors is an integer number (1492215229960).
Almost surely, 2364214630691072 is an apocalyptic number.
364214630691072 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 364214630691072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644636979342720).
364214630691072 is an abundant number, since it is smaller than the sum of its proper divisors (925059327994368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
364214630691072 is an equidigital number, since it uses as much as digits as its factorization.
364214630691072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 229381 (or 229355 counting only the distinct ones).
The product of its (nonzero) digits is 7838208, while the sum is 54.
The spelling of 364214630691072 in words is "three hundred sixty-four trillion, two hundred fourteen billion, six hundred thirty million, six hundred ninety-one thousand, seventy-two".
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