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63345689472 = 2731346327407
BaseRepresentation
bin111010111111101100…
…101000001110000000
320001111200002102220010
4322333230220032000
52014212444030342
645033421544520
74401523322262
oct727754501600
9201450072803
1063345689472
1124956a9908a
121033a415140
135c869488c0
1430ccd63b32
1519ab32d29c
hexebfb28380

63345689472 has 128 divisors (see below), whose sum is σ = 181603215360. Its totient is φ = 19448174592.

The previous prime is 63345689471. The next prime is 63345689503. The reversal of 63345689472 is 27498654336.

63345689472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63345689471) 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, 2297593 + ... + 2324999.

It is an arithmetic number, because the mean of its divisors is an integer number (1418775120).

Almost surely, 263345689472 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 63345689472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90801607680).

63345689472 is an abundant number, since it is smaller than the sum of its proper divisors (118257525888).

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

63345689472 is a wasteful number, since it uses less digits than its factorization.

63345689472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27900 (or 27888 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 57.

The spelling of 63345689472 in words is "sixty-three billion, three hundred forty-five million, six hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 463 624 832 926 1248 1389 1664 1852 2496 2778 3704 4992 5556 6019 7408 11112 12038 14816 18057 22224 24076 27407 29632 36114 44448 48152 54814 59264 72228 82221 88896 96304 109628 144456 164442 177792 192608 219256 288912 328884 356291 385216 438512 577824 657768 712582 770432 877024 1068873 1155648 1315536 1425164 1754048 2137746 2311296 2631072 2850328 3508096 4275492 5262144 5700656 8550984 10524288 11401312 12689441 17101968 22802624 25378882 34203936 38068323 45605248 50757764 68407872 76136646 101515528 136815744 152273292 164962733 203031056 304546584 329925466 406062112 494888199 609093168 659850932 812124224 989776398 1218186336 1319701864 1624248448 1979552796 2436372672 2639403728 3959105592 4872745344 5278807456 7918211184 10557614912 15836422368 21115229824 31672844736 63345689472