Search a number
-
+
10601414507736 = 23331313331283207
BaseRepresentation
bin1001101001000101010110…
…0010111011110011011000
31101112111002210201202011000
42122101111202323303120
52342143144103221421
634314120025105000
72142632635330503
oct232212542736330
941474083652130
1010601414507736
113418042125178
121232760328160
135bb92ab73a50
1428917b1c013a
15135b7906e226
hex9a4558bbcd8

10601414507736 has 128 divisors (see below), whose sum is σ = 31716124070400. Its totient is φ = 3261717486720.

The previous prime is 10601414507707. The next prime is 10601414507771. The reversal of 10601414507736 is 63770541410601.

It is a happy number.

10601414507736 is a `hidden beast` number, since 1 + 0 + 60 + 1 + 4 + 14 + 507 + 73 + 6 = 666.

10601414507736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106014145077362 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10601414507691 and 10601414507700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37291845 + ... + 37575051.

It is an arithmetic number, because the mean of its divisors is an integer number (247782219300).

Almost surely, 210601414507736 is an apocalyptic number.

It is an amenable number.

10601414507736 is an abundant number, since it is smaller than the sum of its proper divisors (21114709562664).

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

10601414507736 is a wasteful number, since it uses less digits than its factorization.

10601414507736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296566 (or 296556 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 10601414507736 in words is "ten trillion, six hundred one billion, four hundred fourteen million, five hundred seven thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 13331 26662 39993 53324 79986 106648 119979 159972 173303 239958 283207 319944 346606 359937 479916 519909 566414 693212 719874 849621 959832 1039818 1132828 1386424 1439748 1559727 1699242 2079636 2265656 2548863 2879496 3119454 3398484 3681691 4159272 4679181 5097726 6238908 6796968 7363382 7646589 9358362 10195452 11045073 12477816 14726764 15293178 18716724 20390904 22090146 29453528 30586356 33135219 37433448 44180292 61172712 66270438 88360584 99405657 132540876 198811314 265081752 397622628 795245256 3775432517 7550865034 11326297551 15101730068 22652595102 30203460136 33978892653 45305190204 49080622721 67957785306 90610380408 98161245442 101936677959 135915570612 147241868163 196322490884 203873355918 271831141224 294483736326 392644981768 407746711836 441725604489 588967472652 815493423672 883451208978 1177934945304 1325176813467 1766902417956 2650353626934 3533804835912 5300707253868 10601414507736