Search a number
-
+
26540005632012 = 2233797308332237
BaseRepresentation
bin1100000100011010100111…
…00110111010100000001100
310110222012101121212102222000
412002031103212322200030
511434312412420211022
6132240151003552300
75406311036461215
oct602152346724014
9113865347772860
1026540005632012
11850260a312384
122b8776a22b690
1311a6933a664b2
1467a7864a640c
15310576b9c6ac
hex1823539ba80c

26540005632012 has 48 divisors (see below), whose sum is σ = 68893755258720. Its totient is φ = 8835568554816.

The previous prime is 26540005631989. The next prime is 26540005632013. The reversal of 26540005632012 is 21023650004562.

26540005632012 is a `hidden beast` number, since 2 + 6 + 5 + 4 + 0 + 0 + 0 + 5 + 632 + 0 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (26540005632013) 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 15 ways as a sum of consecutive naturals, for example, 154080043 + ... + 154252194.

It is an arithmetic number, because the mean of its divisors is an integer number (1435286567890).

Almost surely, 226540005632012 is an apocalyptic number.

It is an amenable number.

26540005632012 is an abundant number, since it is smaller than the sum of its proper divisors (42353749626708).

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

26540005632012 is a wasteful number, since it uses less digits than its factorization.

26540005632012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308333047 (or 308333039 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 26540005632012 its reverse (21023650004562), we get a palindrome (47563655636574).

The spelling of 26540005632012 in words is "twenty-six trillion, five hundred forty billion, five million, six hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 797 1594 2391 3188 4782 7173 9564 14346 21519 28692 43038 86076 308332237 616664474 924996711 1233328948 1849993422 2774990133 3699986844 5549980266 8324970399 11099960532 16649940798 33299881596 245740792889 491481585778 737222378667 982963171556 1474444757334 2211667136001 2948889514668 4423334272002 6635001408003 8846668544004 13270002816006 26540005632012