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10324863400 = 235282962273
BaseRepresentation
bin10011001110110100…
…01110100110101000
3222122120001101221011
421213122032212220
5132121131112100
64424305353304
7513600614365
oct114732164650
928576041834
1010324863400
114419130765
122001938834
13c870b2237
146dd36946c
1540667dbba
hex26768e9a8

10324863400 has 48 divisors (see below), whose sum is σ = 24034650300. Its totient is φ = 4124897280.

The previous prime is 10324863361. The next prime is 10324863401. The reversal of 10324863400 is 436842301.

10324863400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3376307236 + 6948556164 = 58106^2 + 83358^2 .

It is not an unprimeable number, because it can be changed into a prime (10324863401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134664 + ... + 196936.

Almost surely, 210324863400 is an apocalyptic number.

10324863400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10324863400 is an abundant number, since it is smaller than the sum of its proper divisors (13709786900).

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

10324863400 is a wasteful number, since it uses less digits than its factorization.

10324863400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63118 (or 63109 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 10324863400 in words is "ten billion, three hundred twenty-four million, eight hundred sixty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 829 1658 3316 4145 6632 8290 16580 20725 33160 41450 62273 82900 124546 165800 249092 311365 498184 622730 1245460 1556825 2490920 3113650 6227300 12454600 51624317 103248634 206497268 258121585 412994536 516243170 1032486340 1290607925 2064972680 2581215850 5162431700 10324863400