Search a number
-
+
5653743348 = 2231171733823
BaseRepresentation
bin1010100001111110…
…10100011011110100
3112121000111220211210
411100333110123310
543034324241343
62333003201420
7260051011521
oct52077243364
915530456753
105653743348
112441433070
121119516270
136c1423686
143b8c38148
1523153d333
hex150fd46f4

5653743348 has 96 divisors (see below), whose sum is σ = 14631708672. Its totient is φ = 1684771200.

The previous prime is 5653743313. The next prime is 5653743371. The reversal of 5653743348 is 8433473565.

It is a junction number, because it is equal to n+sod(n) for n = 5653743297 and 5653743306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6869265 + ... + 6870087.

It is an arithmetic number, because the mean of its divisors is an integer number (152413632).

Almost surely, 25653743348 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 5653743348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315854336).

5653743348 is an abundant number, since it is smaller than the sum of its proper divisors (8977965324).

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

5653743348 is a wasteful number, since it uses less digits than its factorization.

5653743348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1643 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 48.

The square root of 5653743348 is about 75191.3781493597. The cubic root of 5653743348 is about 1781.4707521988.

The spelling of 5653743348 in words is "five billion, six hundred fifty-three million, seven hundred forty-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 733 781 823 852 1466 1562 1646 2199 2343 2469 2932 3124 3292 4398 4686 4938 8063 8796 9053 9372 9876 16126 18106 24189 27159 32252 36212 48378 52043 54318 58433 96756 104086 108636 116866 156129 175299 208172 233732 312258 350598 572473 603259 624516 642763 701196 1144946 1206518 1285526 1717419 1809777 1928289 2289892 2413036 2571052 3434838 3619554 3856578 6635849 6869676 7239108 7713156 13271698 19907547 26543396 39815094 42831389 79630188 85662778 128494167 171325556 256988334 471145279 513976668 942290558 1413435837 1884581116 2826871674 5653743348