Search a number
-
+
10430363664 = 2432731333793
BaseRepresentation
bin10011011011011001…
…01011100000010000
3222220220120101002100
421231230223200100
5132330133114124
64442554520400
7516321425340
oct115554534020
928826511070
1010430363664
114472739666
122031136100
13ca2c00426
1470d38cd20
15410a6d1c9
hex26db2b810

10430363664 has 120 divisors (see below), whose sum is σ = 34436859392. Its totient is φ = 2883962880.

The previous prime is 10430363663. The next prime is 10430363683. The reversal of 10430363664 is 46636303401.

10430363664 is a `hidden beast` number, since 10 + 4 + 3 + 0 + 3 + 636 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10430363663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135649 + ... + 198144.

Almost surely, 210430363664 is an apocalyptic number.

10430363664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10430363664 is an abundant number, since it is smaller than the sum of its proper divisors (24006495728).

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

10430363664 is a wasteful number, since it uses less digits than its factorization.

10430363664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333845 (or 333836 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 10430363664 in words is "ten billion, four hundred thirty million, three hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 744 868 1008 1116 1302 1488 1736 1953 2232 2604 3472 3906 4464 5208 7812 10416 15624 31248 333793 667586 1001379 1335172 2002758 2336551 2670344 3004137 4005516 4673102 5340688 6008274 7009653 8011032 9346204 10347583 12016548 14019306 16022064 18692408 20695166 21028959 24033096 28038612 31042749 37384816 41390332 42057918 48066192 56077224 62085498 72433081 82780664 84115836 93128247 112154448 124170996 144866162 165561328 168231672 186256494 217299243 248341992 289732324 336463344 372512988 434598486 496683984 579464648 651897729 745025976 869196972 1158929296 1303795458 1490051952 1738393944 2607590916 3476787888 5215181832 10430363664