Search a number
-
+
54282356550 = 2345223515701
BaseRepresentation
bin110010100011011110…
…110000011101000110
312012010000211102110000
4302203132300131012
51342132240402200
640534215142130
73631111263162
oct624336603506
9165100742400
1054282356550
1121025a7a9a4
12a62b074946
135171022606
1428ad383ca2
15162a7e1300
hexca37b0746

54282356550 has 120 divisors (see below), whose sum is σ = 150915153312. Its totient is φ = 14466600000.

The previous prime is 54282356521. The next prime is 54282356561. The reversal of 54282356550 is 5565328245.

54282356550 is a `hidden beast` number, since 5 + 4 + 2 + 82 + 3 + 565 + 5 + 0 = 666.

54282356550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 54282356496 and 54282356505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9518700 + ... + 9524400.

Almost surely, 254282356550 is an apocalyptic number.

54282356550 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 54282356550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75457576656).

54282356550 is an abundant number, since it is smaller than the sum of its proper divisors (96632796762).

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

54282356550 is a wasteful number, since it uses less digits than its factorization.

54282356550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8076 (or 8062 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 54282356550 in words is "fifty-four billion, two hundred eighty-two million, three hundred fifty-six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 2025 2351 4050 4702 5701 7053 11402 11755 14106 17103 21159 23510 28505 34206 35265 42318 51309 57010 58775 63477 70530 85515 102618 105795 117550 126954 142525 153927 171030 176325 190431 211590 256545 285050 307854 317385 352650 380862 427575 461781 513090 528975 634770 769635 855150 923562 952155 1057950 1282725 1539270 1586925 1904310 2308905 2565450 3173850 3848175 4617810 4760775 7696350 9521550 11544525 13403051 23089050 26806102 40209153 67015255 80418306 120627459 134030510 201045765 241254918 335076275 361882377 402091530 603137295 670152550 723764754 1005228825 1085647131 1206274590 1809411885 2010457650 2171294262 3015686475 3618823770 5428235655 6031372950 9047059425 10856471310 18094118850 27141178275 54282356550