Search a number
-
+
51240632436 = 223273114211553
BaseRepresentation
bin101111101110001011…
…100000000001110100
311220021001021211101100
4233232023200001310
51314420100214221
635312320330100
73462535121640
oct575613400164
9156231254340
1051240632436
111a805001614
129b20473930
134aa7abc866
1426a13d9c20
1514ed759926
hexbee2e0074

51240632436 has 144 divisors (see below), whose sum is σ = 148953063168. Its totient is φ = 14549068800.

The previous prime is 51240632431. The next prime is 51240632489. The reversal of 51240632436 is 63423604215.

51240632436 is a `hidden beast` number, since 5 + 1 + 2 + 406 + 3 + 243 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 51240632436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51240632431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32993836 + ... + 32995388.

It is an arithmetic number, because the mean of its divisors is an integer number (1034396272).

Almost surely, 251240632436 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 51240632436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74476531584).

51240632436 is an abundant number, since it is smaller than the sum of its proper divisors (97712430732).

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

51240632436 is a wasteful number, since it uses less digits than its factorization.

51240632436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 51240632436 in words is "fifty-one billion, two hundred forty million, six hundred thirty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 311 421 622 842 933 1244 1263 1553 1684 1866 2177 2526 2799 2947 3106 3732 3789 4354 4659 5052 5598 5894 6212 6531 7578 8708 8841 9318 10871 11196 11788 13062 13977 15156 17682 18636 19593 21742 26124 26523 27954 32613 35364 39186 43484 53046 55908 65226 78372 97839 106092 130452 130931 195678 261862 391356 392793 482983 523724 653813 785586 916517 965966 1178379 1307626 1448949 1571172 1833034 1931932 1961439 2356758 2615252 2749551 2897898 3380881 3666068 3922878 4346847 4576691 4713516 5499102 5795796 5884317 6761762 7845756 8248653 8693694 9153382 10142643 10998204 11768634 13523524 13730073 16497306 17387388 18306764 20285286 23537268 27460146 30427929 32994612 40570572 41190219 54920292 60855858 82380438 121711716 164760876 203335843 406671686 610007529 813343372 1220015058 1423350901 1830022587 2440030116 2846701802 3660045174 4270052703 5693403604 7320090348 8540105406 12810158109 17080210812 25620316218 51240632436