Search a number
-
+
12479758732044 = 22333110136906203
BaseRepresentation
bin1011010110011010101110…
…0101100000101100001100
31122012001102211202212101000
42311212223211200230030
53113432021213411134
642313042204420300
72425430024652012
oct265465345405414
948161384685330
1012479758732044
113a816aa50407a
1214967b1b47690
136c6ab4189a16
143120488748b2
15169961a2ae99
hexb59ab960b0c

12479758732044 has 96 divisors (see below), whose sum is σ = 33729317959680. Its totient is φ = 3985869816000.

The previous prime is 12479758732027. The next prime is 12479758732073. The reversal of 12479758732044 is 44023785797421.

It is a happy number.

12479758732044 is a `hidden beast` number, since 1 + 2 + 4 + 7 + 9 + 7 + 587 + 3 + 2 + 0 + 44 = 666.

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, 18114954 + ... + 18791249.

It is an arithmetic number, because the mean of its divisors is an integer number (351347062080).

Almost surely, 212479758732044 is an apocalyptic number.

It is an amenable number.

12479758732044 is an abundant number, since it is smaller than the sum of its proper divisors (21249559227636).

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

12479758732044 is a wasteful number, since it uses less digits than its factorization.

12479758732044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36906348 (or 36906340 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 12479758732044 in words is "twelve trillion, four hundred seventy-nine billion, seven hundred fifty-eight million, seven hundred thirty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 101 108 124 186 202 279 303 372 404 558 606 837 909 1116 1212 1674 1818 2727 3131 3348 3636 5454 6262 9393 10908 12524 18786 28179 37572 56358 84537 112716 169074 338148 36906203 73812406 110718609 147624812 221437218 332155827 442874436 664311654 996467481 1144092293 1328623308 1992934962 2288184586 3432276879 3727526503 3985869924 4576369172 6864553758 7455053006 10296830637 11182579509 13729107516 14910106012 20593661274 22365159018 30890491911 33547738527 41187322548 44730318036 61780983822 67095477054 100643215581 115553321593 123561967644 134190954108 201286431162 231106643186 346659964779 402572862324 462213286372 693319929558 1039979894337 1386639859116 2079959788674 3119939683011 4159919577348 6239879366022 12479758732044