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2550240420552 = 2332112535523157
BaseRepresentation
bin100101000111000110001…
…011001010001011001000
3100000210121122021100211100
4211013012023022023020
5313240343021424202
65231321514501400
7352151222623626
oct45070613121310
910023548240740
102550240420552
118a3607261900
12352306434860
131566431bc236
148b60a308516
154650e64641c
hex251c62ca2c8

2550240420552 has 144 divisors (see below), whose sum is σ = 7735127547420. Its totient is φ = 758218855680.

The previous prime is 2550240420503. The next prime is 2550240420583.

2550240420552 is a `hidden beast` number, since 25 + 5 + 0 + 2 + 40 + 42 + 0 + 552 = 666.

2550240420552 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2548729232676 + 1511187876 = 1596474^2 + 38874^2 .

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2299843 + ... + 3223314.

Almost surely, 22550240420552 is an apocalyptic number.

2550240420552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2550240420552 is an abundant number, since it is smaller than the sum of its proper divisors (5184887126868).

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

2550240420552 is a wasteful number, since it uses less digits than its factorization.

2550240420552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5523244 (or 5523226 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, 2550240 and 420552, that added together give a palindrome (2970792).

The spelling of 2550240420552 in words is "two trillion, five hundred fifty billion, two hundred forty million, four hundred twenty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 53 66 72 88 99 106 121 132 159 198 212 242 264 318 363 396 424 477 484 583 636 726 792 954 968 1089 1166 1272 1452 1749 1908 2178 2332 2904 3498 3816 4356 4664 5247 6413 6996 8712 10494 12826 13992 19239 20988 25652 38478 41976 51304 57717 76956 115434 153912 230868 461736 5523157 11046314 16569471 22092628 33138942 44185256 49708413 60754727 66277884 99416826 121509454 132555768 182264181 198833652 243018908 292727321 364528362 397667304 486037816 546792543 585454642 668301997 729056724 878181963 1093585086 1170909284 1336603994 1458113448 1756363926 2004905991 2187170172 2341818568 2634545889 2673207988 3220000531 3512727852 4009811982 4374340344 5269091778 5346415976 6014717973 6440001062 7025455704 8019623964 9660001593 10538183556 12029435946 12880002124 16039247928 19320003186 21076367112 24058871892 25760004248 28980004779 35420005841 38640006372 48117743784 57960009558 70840011682 77280012744 106260017523 115920019116 141680023364 212520035046 231840038232 283360046728 318780052569 425040070092 637560105138 850080140184 1275120210276 2550240420552