Search a number
-
+
12917944150110 = 2335311543362503
BaseRepresentation
bin1011101111111011000101…
…1110001110100001011110
31200201221110201221110102000
42323332301132032201132
53143121422200300420
643250231022543130
72502201461364336
oct273766136164136
950657421843360
1012917944150110
11413051878021a
121547701437aa6
1372920695329c
143293362140c6
1517605a972690
hexbbfb178e85e

12917944150110 has 64 divisors (see below), whose sum is σ = 35559072092160. Its totient is φ = 3333663004320.

The previous prime is 12917944150109. The next prime is 12917944150147. The reversal of 12917944150110 is 1105144971921.

12917944150110 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 7 + 94 + 41 + 501 + 10 = 666.

It is a super-4 number, since 4×129179441501104 (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 771672882 + ... + 771689621.

It is an arithmetic number, because the mean of its divisors is an integer number (555610501440).

Almost surely, 212917944150110 is an apocalyptic number.

12917944150110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12917944150110 is an abundant number, since it is smaller than the sum of its proper divisors (22641127942050).

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

12917944150110 is a wasteful number, since it uses less digits than its factorization.

12917944150110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543362550 (or 1543362544 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 12917944150110 in words is "twelve trillion, nine hundred seventeen billion, nine hundred forty-four million, one hundred fifty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 4185 8370 1543362503 3086725006 4630087509 7716812515 9260175018 13890262527 15433625030 23150437545 27780525054 41670787581 46300875090 47844237593 69451312635 83341575162 95688475186 138902625270 143532712779 208353937905 239221187965 287065425558 416707875810 430598138337 478442375930 717663563895 861196276674 1291794415011 1435327127790 2152990691685 2583588830022 4305981383370 6458972075055 12917944150110