Search a number
-
+
51374947968 = 273244596309
BaseRepresentation
bin101111110110001011…
…110111111010000000
311220121102000202122200
4233312023313322000
51320203441313333
635333515233200
73466055565261
oct576613677200
9156542022580
1051374947968
111a873900893
129b59448800
134ac98896c6
1426b51a0968
15150a43bc13
hexbf62f7e80

51374947968 has 48 divisors (see below), whose sum is σ = 147836767650. Its totient is φ = 17124982272.

The previous prime is 51374947961. The next prime is 51374948017. The reversal of 51374947968 is 86974947315.

51374947968 is a `hidden beast` number, since 5 + 13 + 7 + 494 + 79 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25879800384 + 25495147584 = 160872^2 + 159672^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (51374947961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22297003 + ... + 22299306.

Almost surely, 251374947968 is an apocalyptic number.

It is an amenable number.

51374947968 is an abundant number, since it is smaller than the sum of its proper divisors (96461819682).

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

51374947968 is a wasteful number, since it uses less digits than its factorization.

51374947968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44596329 (or 44596314 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 51374947968 in words is "fifty-one billion, three hundred seventy-four million, nine hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 44596309 89192618 133788927 178385236 267577854 356770472 401366781 535155708 713540944 802733562 1070311416 1427081888 1605467124 2140622832 2854163776 3210934248 4281245664 5708327552 6421868496 8562491328 12843736992 17124982656 25687473984 51374947968