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53420524200 = 23325229678069
BaseRepresentation
bin110001110000000111…
…001000001010101000
312002212222010210201100
4301300013020022220
51333401123233300
640312511121400
73600544651341
oct616007101250
9162788123640
1053420524200
112072354755a
12a42a513260
135064600744
14282ab210c8
1515c9d03700
hexc701c82a8

53420524200 has 72 divisors (see below), whose sum is σ = 179403933150. Its totient is φ = 14245472640.

The previous prime is 53420524177. The next prime is 53420524211. The reversal of 53420524200 is 242502435.

It is a happy number.

53420524200 is a `hidden beast` number, since 5 + 34 + 205 + 2 + 420 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 22046904324 + 31373619876 = 148482^2 + 177126^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 14837235 + ... + 14840834.

Almost surely, 253420524200 is an apocalyptic number.

53420524200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53420524200 is an abundant number, since it is smaller than the sum of its proper divisors (125983408950).

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

53420524200 is a wasteful number, since it uses less digits than its factorization.

53420524200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29678091 (or 29678079 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The spelling of 53420524200 in words is "fifty-three billion, four hundred twenty million, five hundred twenty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 29678069 59356138 89034207 118712276 148390345 178068414 237424552 267102621 296780690 356136828 445171035 534205242 593561380 712273656 741951725 890342070 1068410484 1187122760 1335513105 1483903450 1780684140 2136820968 2225855175 2671026210 2967806900 3561368280 4451710350 5342052420 5935613800 6677565525 8903420700 10684104840 13355131050 17806841400 26710262100 53420524200