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10447300400 = 245252150131
BaseRepresentation
bin10011011101011010…
…10010011100110000
3222222002102211220212
421232231102130300
5132344002103100
64444401523252
7516615405515
oct115655223460
928862384825
1010447300400
114481257469
122036943528
13ca6580474
1471171b30c
154122b6635
hex26eb52730

10447300400 has 60 divisors (see below), whose sum is σ = 25148316744. Its totient is φ = 4170816000.

The previous prime is 10447300399. The next prime is 10447300433. The reversal of 10447300400 is 400374401.

10447300400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 183335 + ... + 233465.

Almost surely, 210447300400 is an apocalyptic number.

10447300400 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 10447300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12574158372).

10447300400 is an abundant number, since it is smaller than the sum of its proper divisors (14701016344).

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

10447300400 is a wasteful number, since it uses less digits than its factorization.

10447300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50670 (or 50659 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

Adding to 10447300400 its reverse (400374401), we get a palindrome (10847674801).

The spelling of 10447300400 in words is "ten billion, four hundred forty-seven million, three hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 521 1042 2084 2605 4168 5210 8336 10420 13025 20840 26050 41680 50131 52100 100262 104200 200524 208400 250655 401048 501310 802096 1002620 1253275 2005240 2506550 4010480 5013100 10026200 20052400 26118251 52236502 104473004 130591255 208946008 261182510 417892016 522365020 652956275 1044730040 1305912550 2089460080 2611825100 5223650200 10447300400