Search a number
-
+
5554554048 = 26334178401
BaseRepresentation
bin1010010110001001…
…11100010011000000
3112100002212120201000
411023010330103000
542333431212143
62315101212000
7254434634061
oct51304742300
915302776630
105554554048
1123a044573a
1210b0261000
136a6a04b94
143a99b8568
15227998bd3
hex14b13c4c0

5554554048 has 112 divisors (see below), whose sum is σ = 16727850720. Its totient is φ = 1806336000.

The previous prime is 5554554029. The next prime is 5554554133. The reversal of 5554554048 is 8404554555.

5554554048 is a `hidden beast` number, since 5 + 5 + 54 + 554 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5554553994 and 5554554012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31648 + ... + 110048.

It is an arithmetic number, because the mean of its divisors is an integer number (149355810).

Almost surely, 25554554048 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 5554554048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8363925360).

5554554048 is an abundant number, since it is smaller than the sum of its proper divisors (11173296672).

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

5554554048 is a wasteful number, since it uses less digits than its factorization.

5554554048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78463 (or 78447 counting only the distinct ones).

The product of its (nonzero) digits is 1600000, while the sum is 45.

The square root of 5554554048 is about 74528.8806302631. The cubic root of 5554554048 is about 1770.9911828499.

The spelling of 5554554048 in words is "five billion, five hundred fifty-four million, five hundred fifty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 144 164 192 216 246 288 328 369 432 492 576 656 738 864 984 1107 1312 1476 1728 1968 2214 2624 2952 3936 4428 5904 7872 8856 11808 17712 23616 35424 70848 78401 156802 235203 313604 470406 627208 705609 940812 1254416 1411218 1881624 2116827 2508832 2822436 3214441 3763248 4233654 5017664 5644872 6428882 7526496 8467308 9643323 11289744 12857764 15052992 16934616 19286646 22579488 25715528 28929969 33869232 38573292 45158976 51431056 57859938 67738464 77146584 86789907 102862112 115719876 135476928 154293168 173579814 205724224 231439752 308586336 347159628 462879504 617172672 694319256 925759008 1388638512 1851518016 2777277024 5554554048