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5663022624 = 2532710925771
BaseRepresentation
bin1010100011000101…
…01101111000100000
3112121122222100121200
411101202231320200
543044213210444
62333534121200
7260222620020
oct52142557040
915548870550
105663022624
1124466a0796
121120650200
136c332217c
143ba171a80
15232272969
hex1518ade20

5663022624 has 144 divisors (see below), whose sum is σ = 18574395840. Its totient is φ = 1603100160.

The previous prime is 5663022613. The next prime is 5663022661. The reversal of 5663022624 is 4262203665.

5663022624 is a `hidden beast` number, since 5 + 6 + 6 + 3 + 0 + 22 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206859 + ... + 232629.

It is an arithmetic number, because the mean of its divisors is an integer number (128988860).

Almost surely, 25663022624 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 5663022624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9287197920).

5663022624 is an abundant number, since it is smaller than the sum of its proper divisors (12911373216).

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

5663022624 is a wasteful number, since it uses less digits than its factorization.

5663022624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25903 (or 25892 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 5663022624 is about 75253.0572402211. The cubic root of 5663022624 is about 1782.4448397632. Note that the first 3 decimals are identical.

The spelling of 5663022624 in words is "five billion, six hundred sixty-three million, twenty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 109 112 126 144 168 218 224 252 288 327 336 436 504 654 672 763 872 981 1008 1308 1526 1744 1962 2016 2289 2616 3052 3488 3924 4578 5232 6104 6867 7848 9156 10464 12208 13734 15696 18312 24416 25771 27468 31392 36624 51542 54936 73248 77313 103084 109872 154626 180397 206168 219744 231939 309252 360794 412336 463878 541191 618504 721588 824672 927756 1082382 1237008 1443176 1623573 1855512 2164764 2474016 2809039 2886352 3247146 3711024 4329528 5618078 5772704 6494292 7422048 8427117 8659056 11236156 12988584 16854234 17318112 19663273 22472312 25281351 25977168 33708468 39326546 44944624 50562702 51954336 58989819 67416936 78653092 89889248 101125404 117979638 134833872 157306184 176969457 202250808 235959276 269667744 314612368 353938914 404501616 471918552 629224736 707877828 809003232 943837104 1415755656 1887674208 2831511312 5663022624