Search a number
-
+
47897764146 = 23217312162881
BaseRepresentation
bin101100100110111011…
…011110000100110010
311120122002002112011200
4230212323132010302
51241043311423041
634000503152030
73313644164151
oct544673360462
9146562075150
1047897764146
111934a048151
129348a45616
13469437b29b
142465461598
1513a503a1b6
hexb26ede132

47897764146 has 72 divisors (see below), whose sum is σ = 113542761852. Its totient is φ = 14541926400.

The previous prime is 47897764133. The next prime is 47897764157. The reversal of 47897764146 is 64146779874.

47897764146 is a `hidden beast` number, since 478 + 97 + 7 + 64 + 14 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43980381225 + 3917382921 = 209715^2 + 62589^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 212626 + ... + 375506.

Almost surely, 247897764146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47897764146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56771380926).

47897764146 is an abundant number, since it is smaller than the sum of its proper divisors (65644997706).

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

47897764146 is a wasteful number, since it uses less digits than its factorization.

47897764146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162968 (or 162934 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 63.

The spelling of 47897764146 in words is "forty-seven billion, eight hundred ninety-seven million, seven hundred sixty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 558 961 1054 1581 1922 2883 3162 4743 5766 8649 9486 16337 17298 32674 49011 98022 147033 162881 294066 325762 488643 977286 1465929 2768977 2931858 5049311 5537954 8306931 10098622 15147933 16613862 24920793 30295866 45443799 49841586 85838287 90887598 156528641 171676574 257514861 313057282 469585923 515029722 772544583 939171846 1408757769 1545089166 2660986897 2817515538 5321973794 7982960691 15965921382 23948882073 47897764146