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10432480000 = 285465203
BaseRepresentation
bin10011011011101001…
…10000001100000000
3222221001112220011011
421231310300030000
5132331203330000
64443112130304
7516345421405
oct115564601400
928831486134
1010432480000
1144739546a8
122031996994
13ca34917b7
1470d7802ac
15410d3a2ba
hex26dd30300

10432480000 has 90 divisors (see below), whose sum is σ = 26022329564. Its totient is φ = 4172928000.

The previous prime is 10432479989. The next prime is 10432480027. The reversal of 10432480000 is 8423401.

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 9 ways as a sum of consecutive naturals, for example, 127399 + ... + 192601.

Almost surely, 210432480000 is an apocalyptic number.

10432480000 is a gapful number since it is divisible by the number (10) 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 10432480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13011164782).

10432480000 is an abundant number, since it is smaller than the sum of its proper divisors (15589849564).

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

10432480000 is an frugal number, since it uses more digits than its factorization.

10432480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65239 (or 65210 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The spelling of 10432480000 in words is "ten billion, four hundred thirty-two million, four hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 32000 40000 65203 80000 130406 160000 260812 326015 521624 652030 1043248 1304060 1630075 2086496 2608120 3260150 4172992 5216240 6520300 8150375 8345984 10432480 13040600 16300750 16691968 20864960 26081200 32601500 40751875 41729920 52162400 65203000 81503750 83459840 104324800 130406000 163007500 208649600 260812000 326015000 417299200 521624000 652030000 1043248000 1304060000 2086496000 2608120000 5216240000 10432480000