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5663735040 = 28353739863
BaseRepresentation
bin1010100011001010…
…11011110100000000
3112121201022112212110
411101211123310000
543044404010130
62334001255320
7260231645025
oct52145336400
915551275773
105663735040
112447037a67
121120934540
136c3511512
143ba2b954c
15232363ab0
hex15195bd00

5663735040 has 144 divisors (see below), whose sum is σ = 18577899648. Its totient is φ = 1469472768.

The previous prime is 5663735017. The next prime is 5663735059. The reversal of 5663735040 is 405373665.

It is a self number, because there is not a number n which added to its sum of digits gives 5663735040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122149 + ... + 162011.

It is an arithmetic number, because the mean of its divisors is an integer number (129013192).

Almost surely, 25663735040 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 5663735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9288949824).

5663735040 is an abundant number, since it is smaller than the sum of its proper divisors (12914164608).

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

5663735040 is a wasteful number, since it uses less digits than its factorization.

5663735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39924 (or 39910 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 39.

The square root of 5663735040 is about 75257.7905601805. The cubic root of 5663735040 is about 1782.5195812962.

The spelling of 5663735040 in words is "five billion, six hundred sixty-three million, seven hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 256 296 320 370 384 444 480 555 592 640 740 768 888 960 1110 1184 1280 1480 1776 1920 2220 2368 2960 3552 3840 4440 4736 5920 7104 8880 9472 11840 14208 17760 23680 28416 35520 39863 47360 71040 79726 119589 142080 159452 199315 239178 318904 398630 478356 597945 637808 797260 956712 1195890 1275616 1474931 1594520 1913424 2391780 2551232 2949862 3189040 3826848 4424793 4783560 5102464 5899724 6378080 7374655 7653696 8849586 9567120 10204928 11799448 12756160 14749310 15307392 17699172 19134240 22123965 23598896 25512320 29498620 30614784 35398344 38268480 44247930 47197792 51024640 58997240 70796688 76536960 88495860 94395584 117994480 141593376 153073920 176991720 188791168 235988960 283186752 353983440 377582336 471977920 566373504 707966880 943955840 1132747008 1415933760 1887911680 2831867520 5663735040