Search a number
-
+
745556517840 = 24353106485491
BaseRepresentation
bin10101101100101101010…
…00011010001111010000
32122021102010010021202110
422312112220122033100
544203344432032330
61330300503345320
7104602404560541
oct12662650321720
92567363107673
10745556517840
11268209243842
121005b1452240
13553c8761184
142812983c4c8
15145d87c4db0
hexad96a1a3d0

745556517840 has 40 divisors (see below), whose sum is σ = 2311225206048. Its totient is φ = 198815071360.

The previous prime is 745556517829. The next prime is 745556517841. The reversal of 745556517840 is 48715655547.

It is a happy number.

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

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745556517841) 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 7 ways as a sum of consecutive naturals, for example, 1553242506 + ... + 1553242985.

Almost surely, 2745556517840 is an apocalyptic number.

It is an amenable number.

745556517840 is an abundant number, since it is smaller than the sum of its proper divisors (1565668688208).

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

745556517840 is a wasteful number, since it uses less digits than its factorization.

745556517840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106485507 (or 3106485501 counting only the distinct ones).

The product of its (nonzero) digits is 23520000, while the sum is 57.

The spelling of 745556517840 in words is "seven hundred forty-five billion, five hundred fifty-six million, five hundred seventeen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3106485491 6212970982 9319456473 12425941964 15532427455 18638912946 24851883928 31064854910 37277825892 46597282365 49703767856 62129709820 74555651784 93194564730 124259419640 149111303568 186389129460 248518839280 372778258920 745556517840