Search a number
-
+
553650610050 = 23352757541759
BaseRepresentation
bin10000000111010000010…
…01011101111110000010
31221221001212022002102000
420003220021131332002
533032334024010200
61102202114004430
754666656352156
oct10035011357602
91857055262360
10553650610050
111a389037694a
128b374576716
134029430a895
141cb22719066
15e605c35300
hex80e825df82

553650610050 has 96 divisors (see below), whose sum is σ = 1527633177600. Its totient is φ = 147444857280.

The previous prime is 553650610043. The next prime is 553650610061. The reversal of 553650610050 is 50016056355.

553650610050 is a `hidden beast` number, since 5 + 5 + 36 + 5 + 0 + 610 + 0 + 5 + 0 = 666.

It is a super-2 number, since 2×5536506100502 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 553650609987 and 553650610014.

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 47 ways as a sum of consecutive naturals, for example, 751071 + ... + 1292829.

It is an arithmetic number, because the mean of its divisors is an integer number (15912845600).

Almost surely, 2553650610050 is an apocalyptic number.

553650610050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 553650610050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763816588800).

553650610050 is an abundant number, since it is smaller than the sum of its proper divisors (973982567550).

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

553650610050 is a wasteful number, since it uses less digits than its factorization.

553650610050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542537 (or 542526 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 553650610050 in words is "five hundred fifty-three billion, six hundred fifty million, six hundred ten thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 757 1350 1514 2271 3785 4542 6813 7570 11355 13626 18925 20439 22710 34065 37850 40878 56775 68130 102195 113550 170325 204390 340650 510975 541759 1021950 1083518 1625277 2708795 3250554 4875831 5417590 8126385 9751662 13543975 14627493 16252770 24379155 27087950 29254986 40631925 48758310 73137465 81263850 121895775 146274930 243791550 365687325 410111563 731374650 820223126 1230334689 2050557815 2460669378 3691004067 4101115630 6151673445 7382008134 10252789075 11073012201 12303346890 18455020335 20505578150 22146024402 30758367225 36910040670 55365061005 61516734450 92275101675 110730122010 184550203350 276825305025 553650610050