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6011228640 = 253512523393
BaseRepresentation
bin1011001100100110…
…00001000111100000
3120111221012001110210
411212103001013200
544302333304030
62432253254120
7301651412634
oct54623010740
916457161423
106011228640
11260520005a
1211b9194340
1374a4ca931
144104d2dc4
15252b04bb0
hex1664c11e0

6011228640 has 48 divisors (see below), whose sum is σ = 18935371728. Its totient is φ = 1602994176.

The previous prime is 6011228617. The next prime is 6011228669. The reversal of 6011228640 is 468221106.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×60112286402 = 72269739524712499200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6011228598 and 6011228607.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6261217 + ... + 6262176.

It is an arithmetic number, because the mean of its divisors is an integer number (394486911).

Almost surely, 26011228640 is an apocalyptic number.

6011228640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6011228640 is an abundant number, since it is smaller than the sum of its proper divisors (12924143088).

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

6011228640 is a wasteful number, since it uses less digits than its factorization.

6011228640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12523411 (or 12523403 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 6011228640 is about 77532.1136046219. The cubic root of 6011228640 is about 1818.2534305006.

Adding to 6011228640 its reverse (468221106), we get a palindrome (6479449746).

The spelling of 6011228640 in words is "six billion, eleven million, two hundred twenty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 12523393 25046786 37570179 50093572 62616965 75140358 100187144 125233930 150280716 187850895 200374288 250467860 300561432 375701790 400748576 500935720 601122864 751403580 1001871440 1202245728 1502807160 2003742880 3005614320 6011228640