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5653717440 = 26357841327
BaseRepresentation
bin1010100001111110…
…01110000111000000
3112121000110121022020
411100333032013000
543034322424230
62333002441440
7260050543140
oct52077160700
915530417266
105653717440
112441415658
121119503280
136c1414947
143b8c2c920
15231535810
hex150fce1c0

5653717440 has 112 divisors (see below), whose sum is σ = 20514941952. Its totient is φ = 1292276736.

The previous prime is 5653717409. The next prime is 5653717441. The reversal of 5653717440 is 447173565.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5653717392 and 5653717401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5653717441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413944 + ... + 427383.

Almost surely, 25653717440 is an apocalyptic number.

It is an amenable number.

5653717440 is an abundant number, since it is smaller than the sum of its proper divisors (14861224512).

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

5653717440 is a wasteful number, since it uses less digits than its factorization.

5653717440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841354 (or 841344 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 5653717440 is about 75191.2058687716. The cubic root of 5653717440 is about 1781.4680310274.

The spelling of 5653717440 in words is "five billion, six hundred fifty-three million, seven hundred seventeen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 841327 1682654 2523981 3365308 4206635 5047962 5889289 6730616 8413270 10095924 11778578 12619905 13461232 16826540 17667867 20191848 23557156 25239810 26922464 29446445 33653080 35335734 40383696 47114312 50479620 53844928 58892890 67306160 70671468 80767392 88339335 94228624 100959240 117785780 134612320 141342936 161534784 176678670 188457248 201918480 235571560 269224640 282685872 353357340 376914496 403836960 471143120 565371744 706714680 807673920 942286240 1130743488 1413429360 1884572480 2826858720 5653717440