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52423684200 = 23325229124269
BaseRepresentation
bin110000110100101100…
…011111000001101000
312000022111102002022100
4300310230133001220
51324330430343300
640025541253400
73534051651306
oct606454370150
9160274362270
1052423684200
1120261891948
12a1b0704260
134c35c2b9a4
142774597276
15156c548700
hexc34b1f068

52423684200 has 72 divisors (see below), whose sum is σ = 176056212150. Its totient is φ = 13979648640.

The previous prime is 52423684147. The next prime is 52423684207. The reversal of 52423684200 is 248632425.

52423684200 is a `hidden beast` number, since 52 + 42 + 368 + 4 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 42692650884 + 9731033316 = 206622^2 + 98646^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52423684207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14560335 + ... + 14563934.

Almost surely, 252423684200 is an apocalyptic number.

52423684200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52423684200 is an abundant number, since it is smaller than the sum of its proper divisors (123632527950).

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

52423684200 is a wasteful number, since it uses less digits than its factorization.

52423684200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29124291 (or 29124279 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 52423684200 in words is "fifty-two billion, four hundred twenty-three million, six hundred eighty-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 29124269 58248538 87372807 116497076 145621345 174745614 232994152 262118421 291242690 349491228 436864035 524236842 582485380 698982456 728106725 873728070 1048473684 1164970760 1310592105 1456213450 1747456140 2096947368 2184320175 2621184210 2912426900 3494912280 4368640350 5242368420 5824853800 6552960525 8737280700 10484736840 13105921050 17474561400 26211842100 52423684200