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10473649920 = 28355151223
BaseRepresentation
bin10011100000100011…
…10011011100000000
31000000221000112200000
421300101303130000
5132422223244140
64451142400000
7520355361336
oct116021633400
930027015600
1010473649920
114495114228
122043730000
13cabb779b6
14715019b56
1541476da30
hex270473700

10473649920 has 432 divisors, whose sum is σ = 37998385152. Its totient is φ = 2762035200.

The previous prime is 10473649883. The next prime is 10473649931. The reversal of 10473649920 is 2994637401.

It is a happy number.

10473649920 is a `hidden beast` number, since 10 + 473 + 64 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 46966929 + ... + 46967151.

Almost surely, 210473649920 is an apocalyptic number.

10473649920 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 10473649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18999192576).

10473649920 is an abundant number, since it is smaller than the sum of its proper divisors (27524735232).

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

10473649920 is an equidigital number, since it uses as much as digits as its factorization.

10473649920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 10473649920 in words is "ten billion, four hundred seventy-three million, six hundred forty-nine thousand, nine hundred twenty".