Search a number
-
+
53034552324 = 223213638917737
BaseRepresentation
bin110001011001000110…
…110000110000000100
312001220001212101211200
4301121012300300010
51332103321133244
640210322302500
73555150154035
oct613106606004
9161801771750
1053034552324
1120545693136
12a3411b7a30
135002661310
1427d176ca8c
1515a5eb1669
hexc591b0c04

53034552324 has 72 divisors (see below), whose sum is σ = 144402574680. Its totient is φ = 16314849792.

The previous prime is 53034552271. The next prime is 53034552331. The reversal of 53034552324 is 42325543035.

53034552324 is a `hidden beast` number, since 53 + 0 + 34 + 552 + 3 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 96825600 + 52937726724 = 9840^2 + 230082^2 .

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2981184 + ... + 2998920.

It is an arithmetic number, because the mean of its divisors is an integer number (2005591315).

Almost surely, 253034552324 is an apocalyptic number.

It is an amenable number.

53034552324 is an abundant number, since it is smaller than the sum of its proper divisors (91368022356).

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

53034552324 is a wasteful number, since it uses less digits than its factorization.

53034552324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24149 (or 24144 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

The spelling of 53034552324 in words is "fifty-three billion, thirty-four million, five hundred fifty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 6389 12778 17737 19167 25556 35474 38334 53211 57501 70948 76668 83057 106422 115002 159633 166114 212844 230004 230581 249171 319266 332228 461162 498342 638532 691743 747513 922324 996684 1383486 1495026 2075229 2766972 2990052 4150458 8300916 113321693 226643386 339965079 453286772 679930158 1019895237 1359860316 1473182009 2039790474 2946364018 4079580948 4419546027 5892728036 8839092054 13258638081 17678184108 26517276162 53034552324