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10473288000 = 263537312011
BaseRepresentation
bin10011100000100000…
…11011000101000000
31000000220100011012120
421300100123011000
5132422130204000
64451130524240
7520352323230
oct116020330500
930026304176
1010473288000
11449499731a
122043596680
13caba7c046
14714d63cc0
154146eb6a0
hex27041b140

10473288000 has 448 divisors, whose sum is σ = 40818425856. Its totient is φ = 2315520000.

The previous prime is 10473287989. The next prime is 10473288011. The reversal of 10473288000 is 88237401.

It is an interprime number because it is at equal distance from previous prime (10473287989) and next prime (10473288011).

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5206995 + ... + 5209005.

Almost surely, 210473288000 is an apocalyptic number.

10473288000 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 10473288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20409212928).

10473288000 is an abundant number, since it is smaller than the sum of its proper divisors (30345137856).

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

10473288000 is a wasteful number, since it uses less digits than its factorization.

10473288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 10473288000 in words is "ten billion, four hundred seventy-three million, two hundred eighty-eight thousand".