Search a number
-
+
47483896464 = 243460532
BaseRepresentation
bin101100001110010000…
…101100001010010000
311112120020022212110000
4230032100230022100
51234221334141324
633451440410000
73300460313634
oct541620541220
9145506285400
1047483896464
1119157470244
129252316900
1346296c2874
1424264cadc4
15137da379c9
hexb0e42c290

47483896464 has 75 divisors (see below), whose sum is σ = 137454881113. Its totient is φ = 15825350592.

The previous prime is 47483896459. The next prime is 47483896469. The reversal of 47483896464 is 46469838474.

The square root of 47483896464 is 217908.

It is a perfect power (a square), and thus also a powerful number.

47483896464 is a `hidden beast` number, since 4 + 7 + 4 + 83 + 8 + 96 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (47483896459) and next prime (47483896469).

It can be written as a sum of positive squares in only one way, i.e., 3464499600 + 44019396864 = 58860^2 + 209808^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47483896469) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 7841662 + ... + 7847714.

Almost surely, 247483896464 is an apocalyptic number.

47483896464 is the 217908-th square number.

It is an amenable number.

47483896464 is an abundant number, since it is smaller than the sum of its proper divisors (89970984649).

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

47483896464 is an frugal number, since it uses more digits than its factorization.

47483896464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12126 (or 6058 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 63.

The spelling of 47483896464 in words is "forty-seven billion, four hundred eighty-three million, eight hundred ninety-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 6053 12106 18159 24212 36318 48424 54477 72636 96848 108954 145272 163431 217908 290544 326862 435816 490293 653724 871632 980586 1307448 1961172 2614896 3922344 7844688 36638809 73277618 109916427 146555236 219832854 293110472 329749281 439665708 586220944 659498562 879331416 989247843 1318997124 1758662832 1978495686 2637994248 2967743529 3956991372 5275988496 5935487058 7913982744 11870974116 15827965488 23741948232 47483896464