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51846379204 = 221723721812
BaseRepresentation
bin110000010010010010…
…001111011011000100
311221211021002221201211
4300102102033123010
51322140133113304
635452355501204
73513541644334
oct602222173304
9157737087654
1051846379204
111aa95a25084
12a06b2b7804
134b7344b0b9
14271ba3b0c4
151536a10204
hexc1248f6c4

51846379204 has 81 divisors (see below), whose sum is σ = 99607871349. Its totient is φ = 23607728640.

The previous prime is 51846379183. The next prime is 51846379213. The reversal of 51846379204 is 40297364815.

It is a happy number.

The square root of 51846379204 is 227698.

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

It can be written as a sum of positive squares in 13 ways, for example, as 22289892804 + 29556486400 = 149298^2 + 171920^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 286443994 + ... + 286444174.

It is a 2-persistent number, because it is pandigital, and so is 2⋅51846379204 = 103692758408, but 3⋅51846379204 = 155539137612 is not.

Almost surely, 251846379204 is an apocalyptic number.

51846379204 is the 227698-th square number.

It is an amenable number.

51846379204 is a deficient number, since it is larger than the sum of its proper divisors (47761492145).

51846379204 is a wasteful number, since it uses less digits than its factorization.

51846379204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 51846379204 by its sum of digits (49), we get a square (2540472580996 = 15938862).

It can be divided in two parts, 5184637 and 9204, that added together give a square (5193841 = 22792).

The spelling of 51846379204 in words is "fifty-one billion, eight hundred forty-six million, three hundred seventy-nine thousand, two hundred four".

Divisors: 1 2 4 17 34 37 68 74 148 181 289 362 578 629 724 1156 1258 1369 2516 2738 3077 5476 6154 6697 10693 12308 13394 21386 23273 26788 32761 42772 46546 52309 65522 93092 104618 113849 131044 209236 227698 247789 395641 455396 495578 556937 791282 991156 1113874 1212157 1582564 1935433 2227748 2424314 3870866 4212413 4848628 7741732 8424826 9467929 16849652 18935858 20606669 37871716 41213338 44849809 71611021 82426676 89699618 143222042 179399236 286444084 350313373 700626746 762446753 1401253492 1524893506 3049787012 12961594801 25923189602 51846379204