Search a number
-
+
47976769296 = 2432182532
BaseRepresentation
bin101100101011101000…
…110110011100010000
311120211120202101212100
4230223220312130100
51241224023104141
634012404400400
73315623544651
oct545350663420
9146746671770
1047976769296
111938a6a9965
12936b3a6100
1346a78508b1
142471b49528
1513abe440b6
hexb2ba36710

47976769296 has 45 divisors (see below), whose sum is σ = 134275675989. Its totient is φ = 15991380288.

The previous prime is 47976769259. The next prime is 47976769327. The reversal of 47976769296 is 69296767974.

The square root of 47976769296 is 219036.

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

47976769296 is a `hidden beast` number, since 479 + 7 + 6 + 7 + 69 + 2 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 131331600 + 47845437696 = 11460^2 + 218736^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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 8 ways as a sum of consecutive naturals, for example, 2619306 + ... + 2637558.

Almost surely, 247976769296 is an apocalyptic number.

47976769296 is the 219036-th square number.

It is an amenable number.

47976769296 is an abundant number, since it is smaller than the sum of its proper divisors (86298906693).

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

47976769296 is an frugal number, since it uses more digits than its factorization.

47976769296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36520 (or 18258 counting only the distinct ones).

The product of its digits is 432081216, while the sum is 72.

The spelling of 47976769296 in words is "forty-seven billion, nine hundred seventy-six million, seven hundred sixty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 18253 36506 54759 73012 109518 146024 164277 219036 292048 328554 438072 657108 876144 1314216 2628432 333172009 666344018 999516027 1332688036 1999032054 2665376072 2998548081 3998064108 5330752144 5997096162 7996128216 11994192324 15992256432 23988384648 47976769296