Search a number
-
+
14953405272 = 23313231118927
BaseRepresentation
bin11011110110100101…
…01101101101011000
31102121010110200201220
431323102231231120
5221111032432042
610511451212040
71036362563511
oct157322555530
942533420656
1014953405272
116383897783
122a93a47020
131543cb3900
14a1bd75a08
155c7bad8ec
hex37b4adb58

14953405272 has 96 divisors (see below), whose sum is σ = 41786542080. Its totient is φ = 4452589440.

The previous prime is 14953405189. The next prime is 14953405301. The reversal of 14953405272 is 27250435941.

It is a happy number.

It is a congruent number.

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, 66273 + ... + 185199.

It is an arithmetic number, because the mean of its divisors is an integer number (435276480).

Almost surely, 214953405272 is an apocalyptic number.

14953405272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14953405272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20893271040).

14953405272 is an abundant number, since it is smaller than the sum of its proper divisors (26833136808).

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

14953405272 is a wasteful number, since it uses less digits than its factorization.

14953405272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118993 (or 118976 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 14953405272 in words is "fourteen billion, nine hundred fifty-three million, four hundred five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 169 186 248 312 338 372 403 507 676 744 806 1014 1209 1352 1612 2028 2418 3224 4056 4836 5239 9672 10478 15717 20956 31434 41912 62868 118927 125736 237854 356781 475708 713562 951416 1427124 1546051 2854248 3092102 3686737 4638153 6184204 7373474 9276306 11060211 12368408 14746948 18552612 20098663 22120422 29493896 37105224 40197326 44240844 47927581 60295989 80394652 88481688 95855162 120591978 143782743 160789304 191710324 241183956 287565486 383420648 482367912 575130972 623058553 1150261944 1246117106 1869175659 2492234212 3738351318 4984468424 7476702636 14953405272