Search a number
-
+
51212143142264 = 23131941296276841
BaseRepresentation
bin10111010010011110000011…
…00110011010010101111000
320201022211111022022220202002
423221033001212122111320
523203024432121023024
6300530311143400132
713533645435216236
oct1351170146322570
9221284438286662
1051212143142264
1115354a47784745
1258b130b153048
132276390a0cb60
14c90976771956
155dc22a9436ae
hex2e93c199a578

51212143142264 has 64 divisors (see below), whose sum is σ = 108878101332000. Its totient is φ = 22386927329280.

The previous prime is 51212143142257. The next prime is 51212143142339. The reversal of 51212143142264 is 46224134121215.

51212143142264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5020484 + ... + 11297324.

Almost surely, 251212143142264 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 51212143142264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54439050666000).

51212143142264 is an abundant number, since it is smaller than the sum of its proper divisors (57665958189736).

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

51212143142264 is a wasteful number, since it uses less digits than its factorization.

51212143142264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6281008 (or 6281004 counting only the distinct ones).

The product of its digits is 92160, while the sum is 38.

Adding to 51212143142264 its reverse (46224134121215), we get a palindrome (97436277263479).

The spelling of 51212143142264 in words is "fifty-one trillion, two hundred twelve billion, one hundred forty-three million, one hundred forty-two thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 494 988 1976 4129 8258 16516 33032 53677 78451 107354 156902 214708 313804 429416 627608 1019863 2039726 4079452 6276841 8158904 12553682 25107364 50214728 81598933 119259979 163197866 238519958 326395732 477039916 652791464 954079832 1550379727 3100759454 6201518908 12403037816 25917076489 51834152978 103668305956 207336611912 336921994357 492424453291 673843988714 984848906582 1347687977428 1969697813164 2695375954856 3939395626328 6401517892783 12803035785566 25606071571132 51212143142264