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10477067040 = 2533511474691
BaseRepresentation
bin10011100000111101…
…10101101100100000
31000001011110011002000
421300132311230200
5132424112121130
64451343524000
7520426412646
oct116036655440
930034404060
1010477067040
1144970385a0
1220448b9600
13cac7a316b
14715669196
15414be6260
hex2707b5b20

10477067040 has 384 divisors, whose sum is σ = 40863191040. Its totient is φ = 2485324800.

The previous prime is 10477067033. The next prime is 10477067093. The reversal of 10477067040 is 4076077401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10477066986 and 10477067004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2231095 + ... + 2235785.

It is an arithmetic number, because the mean of its divisors is an integer number (106414560).

Almost surely, 210477067040 is an apocalyptic number.

10477067040 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 10477067040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20431595520).

10477067040 is an abundant number, since it is smaller than the sum of its proper divisors (30386124000).

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

10477067040 is a wasteful number, since it uses less digits than its factorization.

10477067040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4773 (or 4759 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 10477067040 in words is "ten billion, four hundred seventy-seven million, sixty-seven thousand, forty".