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425413124200 = 235217323352769
BaseRepresentation
bin1100011000011001001…
…10010010000001101000
31111200001202211211200001
412030030212102001220
523432221224433300
6523233155352344
742510063615061
oct6141446220150
91450052754601
10425413124200
11154464688789
126a545bb26b4
133116862ca3c
1416839369568
15b0ec9c316a
hex630c992068

425413124200 has 96 divisors (see below), whose sum is σ = 999091243800. Its totient is φ = 168452341760.

The previous prime is 425413124173. The next prime is 425413124249. The reversal of 425413124200 is 2421314524.

It can be written as a sum of positive squares in 12 ways, for example, as 18540090244 + 406873033956 = 136162^2 + 637866^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8035416 + ... + 8088184.

Almost surely, 2425413124200 is an apocalyptic number.

425413124200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425413124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499545621900).

425413124200 is an abundant number, since it is smaller than the sum of its proper divisors (573678119600).

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

425413124200 is a wasteful number, since it uses less digits than its factorization.

425413124200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53191 (or 53182 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 425413124200 its reverse (2421314524), we get a palindrome (427834438724).

The spelling of 425413124200 in words is "four hundred twenty-five billion, four hundred thirteen million, one hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 173 200 233 346 466 692 865 932 1165 1384 1730 1864 2330 3460 4325 4660 5825 6920 8650 9320 11650 17300 23300 34600 40309 46600 52769 80618 105538 161236 201545 211076 263845 322472 403090 422152 527690 806180 1007725 1055380 1319225 1612360 2015450 2110760 2638450 4030900 5276900 8061800 9129037 10553800 12295177 18258074 24590354 36516148 45645185 49180708 61475885 73032296 91290370 98361416 122951770 182580740 228225925 245903540 307379425 365161480 456451850 491807080 614758850 912903700 1229517700 1825807400 2127065621 2459035400 4254131242 8508262484 10635328105 17016524968 21270656210 42541312420 53176640525 85082624840 106353281050 212706562100 425413124200