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6448857468 = 2235367151339
BaseRepresentation
bin1100000000110000…
…11100000101111100
3121122102122220100220
412000120130011330
5101201401414333
62543525221340
7315544245504
oct60030340574
917572586326
106448857468
11280a237079
1212bb861850
137ba0856c1
14452690a04
1527b24c8b3
hex18061c17c

6448857468 has 48 divisors (see below), whose sum is σ = 15560173440. Its totient is φ = 2077568064.

The previous prime is 6448857463. The next prime is 6448857473. The reversal of 6448857468 is 8647588446.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6448857463) and next prime (6448857473).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6448857463) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 33058 + ... + 118281.

It is an arithmetic number, because the mean of its divisors is an integer number (324170280).

Almost surely, 26448857468 is an apocalyptic number.

It is an amenable number.

6448857468 is an abundant number, since it is smaller than the sum of its proper divisors (9111315972).

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

6448857468 is a wasteful number, since it uses less digits than its factorization.

6448857468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151466 (or 151464 counting only the distinct ones).

The product of its digits is 41287680, while the sum is 60.

The square root of 6448857468 is about 80304.7786124836. The cubic root of 6448857468 is about 1861.3480677045.

The spelling of 6448857468 in words is "six billion, four hundred forty-eight million, eight hundred fifty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 53 67 106 134 159 201 212 268 318 402 636 804 3551 7102 10653 14204 21306 42612 151339 302678 454017 605356 908034 1816068 8020967 10139713 16041934 20279426 24062901 30419139 32083868 40558852 48125802 60838278 96251604 121676556 537404789 1074809578 1612214367 2149619156 3224428734 6448857468