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10458150432 = 253108939067
BaseRepresentation
bin10011011110101101…
…01011011000100000
3222222211212002100220
421233112223120200
5132404241303212
64445430243040
7520106545332
oct115726533040
928884762326
1010458150432
114487398234
12203a4b6480
13ca88abbc2
14712d43452
1541320b38c
hex26f5ab620

10458150432 has 24 divisors (see below), whose sum is σ = 27452645136. Its totient is φ = 3486050112.

The previous prime is 10458150419. The next prime is 10458150467. The reversal of 10458150432 is 23405185401.

10458150432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 10458150393 and 10458150402.

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 3 ways as a sum of consecutive naturals, for example, 54469438 + ... + 54469629.

It is an arithmetic number, because the mean of its divisors is an integer number (1143860214).

Almost surely, 210458150432 is an apocalyptic number.

10458150432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10458150432 is an abundant number, since it is smaller than the sum of its proper divisors (16994494704).

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

10458150432 is a wasteful number, since it uses less digits than its factorization.

10458150432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108939080 (or 108939072 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 10458150432 in words is "ten billion, four hundred fifty-eight million, one hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 108939067 217878134 326817201 435756268 653634402 871512536 1307268804 1743025072 2614537608 3486050144 5229075216 10458150432