Search a number
-
+
63320138784 = 25327109128789
BaseRepresentation
bin111010111110001011…
…001010010000100000
320001102220000022221100
4322332023022100200
52014134423420114
645031110154400
74401063204420
oct727613122040
9201386008840
1063320138784
1124943627511
1210331952a00
135c81570b56
1430c97d2480
1519a8e82909
hexebe2ca420

63320138784 has 144 divisors (see below), whose sum is σ = 205986231360. Its totient is φ = 18074257920.

The previous prime is 63320138743. The next prime is 63320138807. The reversal of 63320138784 is 48783102336.

63320138784 is a `hidden beast` number, since 63 + 3 + 201 + 387 + 8 + 4 = 666.

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

It is a super-3 number, since 3×633201387843 (a number of 33 digits) contains 333 as substring.

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, 2185062 + ... + 2213850.

It is an arithmetic number, because the mean of its divisors is an integer number (1430459940).

Almost surely, 263320138784 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 63320138784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102993115680).

63320138784 is an abundant number, since it is smaller than the sum of its proper divisors (142666092576).

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

63320138784 is a wasteful number, since it uses less digits than its factorization.

63320138784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29903 (or 29892 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 63320138784 in words is "sixty-three billion, three hundred twenty million, one hundred thirty-eight thousand, seven hundred eighty-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 96 112 126 144 168 224 252 288 336 504 672 1008 1091 2016 2182 3273 4364 6546 7637 8728 9819 13092 15274 17456 19638 22911 26184 28789 30548 34912 39276 45822 52368 57578 61096 68733 78552 86367 91644 104736 115156 122192 137466 157104 172734 183288 201523 230312 244384 259101 274932 314208 345468 366576 403046 460624 518202 549864 604569 690936 733152 806092 921248 1036404 1099728 1209138 1381872 1612184 1813707 2072808 2199456 2418276 2763744 3224368 3627414 4145616 4836552 6448736 7254828 8291232 9673104 14509656 19346208 29019312 31408799 58038624 62817598 94226397 125635196 188452794 219861593 251270392 282679191 376905588 439723186 502540784 565358382 659584779 753811176 879446372 1005081568 1130716764 1319169558 1507622352 1758892744 1978754337 2261433528 2638339116 3015244704 3517785488 3957508674 4522867056 5276678232 7035570976 7915017348 9045734112 10553356464 15830034696 21106712928 31660069392 63320138784