Search a number
-
+
12624420113976 = 2331149519658609
BaseRepresentation
bin1011011110110101101000…
…0100111000111000111000
31122200212211112200111000110
42313231122010320320320
53123314303022121401
642503324544104320
72442040620265056
oct267553204707070
948625745614013
1012624420113976
114027a94044480
1214ba8449050a0
137076296aac78
1431904d1bb1d6
1516d5cbab79d6
hexb7b5a138e38

12624420113976 has 64 divisors (see below), whose sum is σ = 34437194438400. Its totient is φ = 3824808768000.

The previous prime is 12624420113953. The next prime is 12624420114013. The reversal of 12624420113976 is 67931102442621.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3522241 + ... + 6136368.

It is an arithmetic number, because the mean of its divisors is an integer number (538081163100).

Almost surely, 212624420113976 is an apocalyptic number.

It is an amenable number.

12624420113976 is an abundant number, since it is smaller than the sum of its proper divisors (21812774324424).

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

12624420113976 is a wasteful number, since it uses less digits than its factorization.

12624420113976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9663580 (or 9663576 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 12624420113976 in words is "twelve trillion, six hundred twenty-four billion, four hundred twenty million, one hundred thirteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 4951 9902 14853 19804 29706 39608 54461 59412 108922 118824 163383 217844 326766 435688 653532 1307064 9658609 19317218 28975827 38634436 57951654 77268872 106244699 115903308 212489398 231806616 318734097 424978796 637468194 849957592 1274936388 2549872776 47819773159 95639546318 143459319477 191279092636 286918638954 382558185272 526017504749 573837277908 1052035009498 1147674555816 1578052514247 2104070018996 3156105028494 4208140037992 6312210056988 12624420113976