Search a number
-
+
250542245052 = 2232113891626433
BaseRepresentation
bin1110100101010101111…
…0110100010010111100
3212221200201102202111100
43221111132310102330
513101102303320202
6311033021453100
724046445642061
oct3512536642274
9787621382440
10250542245052
1197288624a60
1240682111190
131a81a515658
14c1aa842c68
1567b572941c
hex3a557b44bc

250542245052 has 72 divisors (see below), whose sum is σ = 692665711920. Its totient is φ = 75726673920.

The previous prime is 250542245029. The next prime is 250542245081.

250542245052 is a `hidden beast` number, since 25 + 0 + 542 + 2 + 45 + 0 + 52 = 666.

250542245052 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 250542244998 and 250542245016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 659173 + ... + 967260.

It is an arithmetic number, because the mean of its divisors is an integer number (9620357110).

Almost surely, 2250542245052 is an apocalyptic number.

250542245052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

250542245052 is an abundant number, since it is smaller than the sum of its proper divisors (442123466868).

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

250542245052 is a wasteful number, since it uses less digits than its factorization.

250542245052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626843 (or 1626838 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

It can be divided in two parts, 250542 and 245052, that added together give a palindrome (495594).

The spelling of 250542245052 in words is "two hundred fifty billion, five hundred forty-two million, two hundred forty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 389 396 778 1167 1556 2334 3501 4279 4668 7002 8558 12837 14004 17116 25674 38511 51348 77022 154044 1626433 3252866 4879299 6505732 9758598 14637897 17890763 19517196 29275794 35781526 53672289 58551588 71563052 107344578 161016867 214689156 322033734 632682437 644067468 1265364874 1898047311 2530729748 3796094622 5694141933 6959506807 7592189244 11388283866 13919013614 20878520421 22776567732 27838027228 41757040842 62635561263 83514081684 125271122526 250542245052