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10504623400 = 235252523117
BaseRepresentation
bin10011100100001111…
…11101010100101000
31000010002022011021221
421302013331110220
5133003140422100
64454210311424
7521212553125
oct116207752450
930102264257
1010504623400
11450064a047
122051b88574
13cb5400abb
1471919d74c
1541733b01a
hex2721fd528

10504623400 has 24 divisors (see below), whose sum is σ = 24423249870. Its totient is φ = 4201849280.

The previous prime is 10504623379. The next prime is 10504623427. The reversal of 10504623400 is 432640501.

10504623400 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 3 ways, for example, as 5538038724 + 4966584676 = 74418^2 + 70474^2 .

It is a super-2 number, since 2×105046234002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 5 ways as a sum of consecutive naturals, for example, 26261359 + ... + 26261758.

Almost surely, 210504623400 is an apocalyptic number.

10504623400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10504623400 is an abundant number, since it is smaller than the sum of its proper divisors (13918626470).

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

10504623400 is a wasteful number, since it uses less digits than its factorization.

10504623400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52523133 (or 52523124 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 10504623400 in words is "ten billion, five hundred four million, six hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 52523117 105046234 210092468 262615585 420184936 525231170 1050462340 1313077925 2100924680 2626155850 5252311700 10504623400