Search a number
-
+
56116006503550 = 2527397494033597
BaseRepresentation
bin11001100001001100001101…
…01000100100010001111110
321100200122012222101210021121
430300212012220210101332
524323401040131103200
6315203200522221154
714551150645066030
oct1460460650442176
9240618188353247
1056116006503550
1116975734803674
1263637a90547ba
1325409417b4986
14dc005a1ddc50
15674a8d1aee1a
hex330986a2447e

56116006503550 has 48 divisors (see below), whose sum is σ = 119289627252000. Its totient is φ = 19239284856960.

The previous prime is 56116006503547. The next prime is 56116006503553. The reversal of 56116006503550 is 5530560061165.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56116006503547) and next prime (56116006503553).

It is a junction number, because it is equal to n+sod(n) for n = 56116006503497 and 56116006503506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56116006503553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11895352 + ... + 15928948.

It is an arithmetic number, because the mean of its divisors is an integer number (2485200567750).

Almost surely, 256116006503550 is an apocalyptic number.

56116006503550 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56116006503550 is an abundant number, since it is smaller than the sum of its proper divisors (63173620748450).

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

56116006503550 is a wasteful number, since it uses less digits than its factorization.

56116006503550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4073365 (or 4073360 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 43.

The spelling of 56116006503550 in words is "fifty-six trillion, one hundred sixteen billion, six million, five hundred three thousand, five hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 50 70 175 350 39749 79498 198745 278243 397490 556486 993725 1391215 1987450 2782430 4033597 6956075 8067194 13912150 20167985 28235179 40335970 56470358 100839925 141175895 201679850 282351790 705879475 1411758950 160331447153 320662894306 801657235765 1122320130071 1603314471530 2244640260142 4008286178825 5611600650355 8016572357650 11223201300710 28058003251775 56116006503550