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10411927344 = 24327131923171
BaseRepresentation
bin10011011001001100…
…10110011100110000
3222212121212201012200
421230212112130300
5132310423133334
64441055423200
7516005631210
oct115446263460
928777781180
1010411927344
114463297135
122026b24b00
13c9c146970
1470ab50240
1540e12a799
hex26c996730

10411927344 has 720 divisors, whose sum is σ = 39621464064. Its totient is φ = 2482099200.

The previous prime is 10411927303. The next prime is 10411927349. The reversal of 10411927344 is 44372911401.

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 = 10411927299 and 10411927308.

It is not an unprimeable number, because it can be changed into a prime (10411927349) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 146646829 + ... + 146646899.

Almost surely, 210411927344 is an apocalyptic number.

10411927344 is a gapful number since it is divisible by the number (14) 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 10411927344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19810732032).

10411927344 is an abundant number, since it is smaller than the sum of its proper divisors (29209536720).

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

10411927344 is a wasteful number, since it uses less digits than its factorization.

10411927344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10411927344 in words is "ten billion, four hundred eleven million, nine hundred twenty-seven thousand, three hundred forty-four".