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64284048246 = 23112251352771
BaseRepresentation
bin111011110111101000…
…001011101101110110
320010221001210000010210
4323313220023231312
52023123204020441
645310502130250
74434006252165
oct736750135566
9203831700123
1064284048246
112529873aa00
1210560720986
1360a6182a92
14317b8273dc
151a138d5616
hexef7a0bb76

64284048246 has 48 divisors (see below), whose sum is σ = 141882076224. Its totient is φ = 19402350000.

The previous prime is 64284048223. The next prime is 64284048293.

64284048246 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 64284048195 and 64284048204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5841 + ... + 358611.

It is an arithmetic number, because the mean of its divisors is an integer number (2955876588).

Almost surely, 264284048246 is an apocalyptic number.

64284048246 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64284048246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70941038112).

64284048246 is an abundant number, since it is smaller than the sum of its proper divisors (77598027978).

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

64284048246 is a wasteful number, since it uses less digits than its factorization.

64284048246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353049 (or 353038 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 48.

The spelling of 64284048246 in words is "sixty-four billion, two hundred eighty-four million, forty-eight thousand, two hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 121 242 251 363 502 726 753 1506 2761 5522 8283 16566 30371 60742 91113 182226 352771 705542 1058313 2116626 3880481 7760962 11641443 23282886 42685291 85370582 88545521 128055873 177091042 256111746 265636563 531273126 974000731 1948001462 2922002193 5844004386 10714008041 21428016082 32142024123 64284048246