Search a number
-
+
12670900128 = 2532431023167
BaseRepresentation
bin10111100110011111…
…01001011110100000
31012201001112102022100
423303033221132200
5201422222301003
65453153210400
7625665605535
oct136317513640
935631472270
1012670900128
115412435897
122557560a00
13126c155853
14882b7cd8c
154e25e5ba3
hex2f33e97a0

12670900128 has 72 divisors (see below), whose sum is σ = 36870882048. Its totient is φ = 4125405312.

The previous prime is 12670900091. The next prime is 12670900129. The reversal of 12670900128 is 82100907621.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 12670900092 and 12670900101.

It is not an unprimeable number, because it can be changed into a prime (12670900129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 499200 + ... + 523967.

It is an arithmetic number, because the mean of its divisors is an integer number (512095584).

Almost surely, 212670900128 is an apocalyptic number.

12670900128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12670900128 is an abundant number, since it is smaller than the sum of its proper divisors (24199981920).

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

12670900128 is a wasteful number, since it uses less digits than its factorization.

12670900128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023226 (or 1023215 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12670900128 in words is "twelve billion, six hundred seventy million, nine hundred thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 12384 1023167 2046334 3069501 4092668 6139002 8185336 9208503 12278004 16370672 18417006 24556008 32741344 36834012 43996181 49112016 73668024 87992362 98224032 131988543 147336048 175984724 263977086 294672096 351969448 395965629 527954172 703938896 791931258 1055908344 1407877792 1583862516 2111816688 3167725032 4223633376 6335450064 12670900128