Search a number
-
+
544052565040 = 24541291647047
BaseRepresentation
bin1111110101011000000…
…11110101010000110000
31221000021221212212212111
413322230003311100300
532403204424040130
61053533450335104
754210062333515
oct7725403652060
91830257785774
10544052565040
1119a805542646
128953612a494
133c3c49977ca
141c491b0930c
15e2432c502a
hex7eac0f5430

544052565040 has 40 divisors (see below), whose sum is σ = 1265229332640. Its totient is φ = 217568188416.

The previous prime is 544052565031. The next prime is 544052565079. The reversal of 544052565040 is 40565250445.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 544052564984 and 544052565002.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 493204 + ... + 1153843.

It is an arithmetic number, because the mean of its divisors is an integer number (31630733316).

Almost surely, 2544052565040 is an apocalyptic number.

It is an amenable number.

544052565040 is an abundant number, since it is smaller than the sum of its proper divisors (721176767600).

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

544052565040 is a wasteful number, since it uses less digits than its factorization.

544052565040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651189 (or 1651183 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 40.

The spelling of 544052565040 in words is "five hundred forty-four billion, fifty-two million, five hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4129 8258 16516 20645 33032 41290 66064 82580 165160 330320 1647047 3294094 6588188 8235235 13176376 16470470 26352752 32940940 65881880 131763760 6800657063 13601314126 27202628252 34003285315 54405256504 68006570630 108810513008 136013141260 272026282520 544052565040