Search a number
-
+
745026885504 = 273411171991931
BaseRepresentation
bin10101101011101110001…
…00000001011110000000
32122020001012112011210000
422311313010001132000
544201303340314004
61330132143440000
7104553314016126
oct12656704013600
92566035464700
10745026885504
11267a67288170
12100483bb6000
1355342b02565
14280b9371916
15145a7056c39
hexad77101780

745026885504 has 640 divisors, whose sum is σ = 2575232352000. Its totient is φ = 211308134400.

The previous prime is 745026885481. The next prime is 745026885539. The reversal of 745026885504 is 405588620547.

745026885504 is a `hidden beast` number, since 7 + 4 + 5 + 0 + 2 + 6 + 88 + 550 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 385823419 + ... + 385825349.

It is an arithmetic number, because the mean of its divisors is an integer number (4023800550).

Almost surely, 2745026885504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 745026885504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287616176000).

745026885504 is an abundant number, since it is smaller than the sum of its proper divisors (1830205466496).

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

745026885504 is a wasteful number, since it uses less digits than its factorization.

745026885504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 745026885504 in words is "seven hundred forty-five billion, twenty-six million, eight hundred eighty-five thousand, five hundred four".