Search a number
-
+
51873722568 = 2334569140689
BaseRepresentation
bin110000010011111010…
…100011000011001000
311221220011120010210000
4300103322203003020
51322214133110233
635455213523000
73514323236523
oct602372430310
9157804503700
1051873722568
111aaaa4005a8
12a0784a3460
134b79002ac5
142721517bba
151539111d13
hexc13ea30c8

51873722568 has 80 divisors (see below), whose sum is σ = 145550839500. Its totient is φ = 17260729344.

The previous prime is 51873722567. The next prime is 51873722569. The reversal of 51873722568 is 86522737815.

51873722568 is a `hidden beast` number, since 5 + 1 + 8 + 7 + 3 + 72 + 2 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (51873722567) and next prime (51873722569).

It can be written as a sum of positive squares in 2 ways, for example, as 50067642564 + 1806080004 = 223758^2 + 42498^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (51873722567) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 298368 + ... + 439056.

Almost surely, 251873722568 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 51873722568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72775419750).

51873722568 is an abundant number, since it is smaller than the sum of its proper divisors (93677116932).

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

51873722568 is a wasteful number, since it uses less digits than its factorization.

51873722568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141276 (or 141263 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 51873722568 in words is "fifty-one billion, eight hundred seventy-three million, seven hundred twenty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 569 648 1138 1707 2276 3414 4552 5121 6828 10242 13656 15363 20484 30726 40968 46089 61452 92178 122904 140689 184356 281378 368712 422067 562756 844134 1125512 1266201 1688268 2532402 3376536 3798603 5064804 7597206 10129608 11395809 15194412 22791618 30388824 45583236 80052041 91166472 160104082 240156123 320208164 480312246 640416328 720468369 960624492 1440936738 1921248984 2161405107 2881873476 4322810214 5763746952 6484215321 8645620428 12968430642 17291240856 25936861284 51873722568