Search a number
-
+
156056105424 = 24359239230563
BaseRepresentation
bin1001000101010110101…
…0110011000111010000
3112220210211002112201110
42101111222303013100
510024100330333144
6155405143533320
714163134003202
oct2212552630720
9486724075643
10156056105424
116020166a85a
12262b2a5a240
13119401605ab
1477a5c06772
1540d55eb0b9
hex2455ab31d0

156056105424 has 80 divisors (see below), whose sum is σ = 411695078400. Its totient is φ = 50922845568.

The previous prime is 156056105339. The next prime is 156056105459. The reversal of 156056105424 is 424501650651.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561567 + ... + 792129.

It is an arithmetic number, because the mean of its divisors is an integer number (5146188480).

Almost surely, 2156056105424 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 156056105424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205847539200).

156056105424 is an abundant number, since it is smaller than the sum of its proper divisors (255638972976).

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

156056105424 is a wasteful number, since it uses less digits than its factorization.

156056105424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230872 (or 230866 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 156056105424 in words is "one hundred fifty-six billion, fifty-six million, one hundred five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 239 354 472 478 708 717 944 956 1416 1434 1912 2832 2868 3824 5736 11472 14101 28202 42303 56404 84606 112808 169212 225616 230563 338424 461126 676848 691689 922252 1383378 1844504 2766756 3689008 5533512 11067024 13603217 27206434 40809651 54412868 55104557 81619302 108825736 110209114 163238604 165313671 217651472 220418228 326477208 330627342 440836456 652954416 661254684 881672912 1322509368 2645018736 3251168863 6502337726 9753506589 13004675452 19507013178 26009350904 39014026356 52018701808 78028052712 156056105424