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264042044440 = 23579359232751
BaseRepresentation
bin1111010111101000100…
…0011101110000011000
3221020112112200121211021
43311322020131300120
513311224230410230
6321144345212224
725035131226556
oct3657210356030
9836475617737
10264042044440
11a1a8593a059
124320b191074
131bb8c2cc025
14cacb710bd6
156d059a4c7a
hex3d7a21dc18

264042044440 has 64 divisors (see below), whose sum is σ = 603293184000. Its totient is φ = 103988976000.

The previous prime is 264042044323. The next prime is 264042044443. The reversal of 264042044440 is 44440240462.

264042044440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2640420444403 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 264042044396 and 264042044405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264042044443) 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 15 ways as a sum of consecutive naturals, for example, 1018065 + ... + 1250815.

It is an arithmetic number, because the mean of its divisors is an integer number (9426456000).

Almost surely, 2264042044440 is an apocalyptic number.

264042044440 is a gapful number since it is divisible by the number (20) 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 264042044440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301646592000).

264042044440 is an abundant number, since it is smaller than the sum of its proper divisors (339251139560).

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

264042044440 is a wasteful number, since it uses less digits than its factorization.

264042044440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233200 (or 233196 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

The spelling of 264042044440 in words is "two hundred sixty-four billion, forty-two million, forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 359 395 632 718 790 1436 1580 1795 2872 3160 3590 7180 14360 28361 56722 113444 141805 226888 232751 283610 465502 567220 931004 1134440 1163755 1862008 2327510 4655020 9310040 18387329 36774658 73549316 83557609 91936645 147098632 167115218 183873290 334230436 367746580 417788045 668460872 735493160 835576090 1671152180 3342304360 6601051111 13202102222 26404204444 33005255555 52808408888 66010511110 132021022220 264042044440