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12177115912 = 23131753129953
BaseRepresentation
bin10110101011101000…
…00000101100001000
31011102122101120201001
423111310000230020
5144414320202122
65332153504344
7610521530443
oct132564005410
934378346631
1012177115912
115189734465
12243a1120b4
1311c0a68a40
1483736465a
154b40a9527
hex2d5d00b08

12177115912 has 64 divisors (see below), whose sum is σ = 26526210480. Its totient is φ = 5189763072.

The previous prime is 12177115849. The next prime is 12177115913. The reversal of 12177115912 is 21951177121.

It can be written as a sum of positive squares in 8 ways, for example, as 7256654596 + 4920461316 = 85186^2 + 70146^2 .

It is not an unprimeable number, because it can be changed into a prime (12177115913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28728 + ... + 158680.

Almost surely, 212177115912 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 12177115912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13263105240).

12177115912 is an abundant number, since it is smaller than the sum of its proper divisors (14349094568).

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

12177115912 is a wasteful number, since it uses less digits than its factorization.

12177115912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130042 (or 130038 counting only the distinct ones).

The product of its digits is 8820, while the sum is 37.

The spelling of 12177115912 in words is "twelve billion, one hundred seventy-seven million, one hundred fifteen thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 17 26 34 52 53 68 104 106 136 212 221 424 442 689 884 901 1378 1768 1802 2756 3604 5512 7208 11713 23426 46852 93704 129953 259906 519812 1039624 1689389 2209201 3378778 4418402 6757556 6887509 8836804 13515112 13775018 17673608 27550036 28719613 55100072 57439226 89537617 114878452 117087653 179075234 229756904 234175306 358150468 468350612 716300936 936701224 1522139489 3044278978 6088557956 12177115912