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10416660540 = 223511137316631
BaseRepresentation
bin10011011001110000…
…11010000000111100
3222212221210011221020
421230320122000330
5132313131114130
64441345104140
7516064103466
oct115470320074
928787704836
1010416660540
114465a2a270
122028628050
13ca0113180
1470b623136
1540e762e10
hex26ce1a03c

10416660540 has 192 divisors, whose sum is σ = 34737196032. Its totient is φ = 2298931200.

The previous prime is 10416660511. The next prime is 10416660587. The reversal of 10416660540 is 4506661401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 618025 + ... + 634655.

It is an arithmetic number, because the mean of its divisors is an integer number (180922896).

Almost surely, 210416660540 is an apocalyptic number.

10416660540 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 10416660540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17368598016).

10416660540 is an abundant number, since it is smaller than the sum of its proper divisors (24320535492).

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

10416660540 is a wasteful number, since it uses less digits than its factorization.

10416660540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16740 (or 16738 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 10416660540 in words is "ten billion, four hundred sixteen million, six hundred sixty thousand, five hundred forty".