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51660207232 = 279714092953
BaseRepresentation
bin110000000111001100…
…000011010010000000
311221100021210102210121
4300013030003102000
51321300003112412
635422105310024
73506121342034
oct600714032200
9157307712717
1051660207232
111a9aa927347
12a018a95314
134b439c5b7a
1427010181c4
1515254d8107
hexc07303480

51660207232 has 64 divisors (see below), whose sum is σ = 104086848600. Its totient is φ = 25537019904.

The previous prime is 51660207217. The next prime is 51660207233. The reversal of 51660207232 is 23270206615.

It can be written as a sum of positive squares in 4 ways, for example, as 35939059776 + 15721147456 = 189576^2 + 125384^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×516602072322 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51660207233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17492668 + ... + 17495620.

Almost surely, 251660207232 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 51660207232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52043424300).

51660207232 is an abundant number, since it is smaller than the sum of its proper divisors (52426641368).

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

51660207232 is a wasteful number, since it uses less digits than its factorization.

51660207232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4473 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 51660207232 in words is "fifty-one billion, six hundred sixty million, two hundred seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 1409 1552 2818 2953 3104 5636 5906 6208 11272 11812 12416 22544 23624 45088 47248 90176 94496 136673 180352 188992 273346 286441 377984 546692 572882 1093384 1145764 2186768 2291528 4160777 4373536 4583056 8321554 8747072 9166112 16643108 17494144 18332224 33286216 36664448 66572432 133144864 266289728 403595369 532579456 807190738 1614381476 3228762952 6457525904 12915051808 25830103616 51660207232