Search a number
-
+
7424364704 = 252976110513
BaseRepresentation
bin1101110101000011…
…01101000010100000
3201011102020210201112
412322201231002200
5110201114132304
63224413522452
7351661026101
oct67241550240
921142223645
107424364704
11316a9510a9
1215324a3428
139141c8513
145060643a8
152d6be1b6e
hex1ba86d0a0

7424364704 has 48 divisors (see below), whose sum is σ = 15142052520. Its totient is φ = 3579125760.

The previous prime is 7424364697. The next prime is 7424364713. The reversal of 7424364704 is 4074634247.

It can be written as a sum of positive squares in 4 ways, for example, as 1332250000 + 6092114704 = 36500^2 + 78052^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 700952 + ... + 711464.

Almost surely, 27424364704 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 7424364704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7571026260).

7424364704 is an abundant number, since it is smaller than the sum of its proper divisors (7717687816).

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

7424364704 is a wasteful number, since it uses less digits than its factorization.

7424364704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11313 (or 11305 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 41.

The square root of 7424364704 is about 86164.7532579302. The cubic root of 7424364704 is about 1950.8315282494.

The spelling of 7424364704 in words is "seven billion, four hundred twenty-four million, three hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 761 928 1522 3044 6088 10513 12176 21026 22069 24352 42052 44138 84104 88276 168208 176552 304877 336416 353104 609754 706208 1219508 2439016 4878032 8000393 9756064 16000786 32001572 64003144 128006288 232011397 256012576 464022794 928045588 1856091176 3712182352 7424364704