Search a number
-
+
54535325550 = 235231109710691
BaseRepresentation
bin110010110010100011…
…110000011101101110
312012202122211120200020
4302302203300131232
51343142020404200
641015253143010
73640302422136
oct626243603556
9165678746606
1054535325550
1121145851292
12a69b92aa66
1351b1564504
1428d4bd3ac6
151642b0eea0
hexcb28f076e

54535325550 has 96 divisors (see below), whose sum is σ = 139750769664. Its totient is φ = 14059488000.

The previous prime is 54535325539. The next prime is 54535325573. The reversal of 54535325550 is 5552353545.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5095705 + ... + 5106395.

It is an arithmetic number, because the mean of its divisors is an integer number (1455737184).

Almost surely, 254535325550 is an apocalyptic number.

54535325550 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 54535325550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69875384832).

54535325550 is an abundant number, since it is smaller than the sum of its proper divisors (85215444114).

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

54535325550 is a wasteful number, since it uses less digits than its factorization.

54535325550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11834 (or 11829 counting only the distinct ones).

The product of its (nonzero) digits is 1125000, while the sum is 42.

The spelling of 54535325550 in words is "fifty-four billion, five hundred thirty-five million, three hundred twenty-five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 150 155 186 310 465 775 930 1097 1550 2194 2325 3291 4650 5485 6582 10691 10970 16455 21382 27425 32073 32910 34007 53455 54850 64146 68014 82275 102021 106910 160365 164550 170035 204042 267275 320730 331421 340070 510105 534550 662842 801825 850175 994263 1020210 1603650 1657105 1700350 1988526 2550525 3314210 4971315 5101050 8285525 9942630 11728027 16571050 23456054 24856575 35184081 49713150 58640135 70368162 117280270 175920405 293200675 351840810 363568837 586401350 727137674 879602025 1090706511 1759204050 1817844185 2181413022 3635688370 5453532555 9089220925 10907065110 18178441850 27267662775 54535325550