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10419739344 = 2433731412711
BaseRepresentation
bin10011011010001000…
…01001101011010000
3222220011120121021000
421231010021223100
5132314423124334
64441535102000
7516132215550
oct115504115320
928804517230
1010419739344
114467742433
122029671900
13ca0950651
1470bbc5160
1540eb70299
hex26d109ad0

10419739344 has 320 divisors, whose sum is σ = 36157685760. Its totient is φ = 2809728000.

The previous prime is 10419739283. The next prime is 10419739367. The reversal of 10419739344 is 44393791401.

It is a self number, because there is not a number n which added to its sum of digits gives 10419739344.

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, 3842149 + ... + 3844859.

It is an arithmetic number, because the mean of its divisors is an integer number (112992768).

Almost surely, 210419739344 is an apocalyptic number.

10419739344 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 10419739344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18078842880).

10419739344 is an abundant number, since it is smaller than the sum of its proper divisors (25737946416).

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

10419739344 is a wasteful number, since it uses less digits than its factorization.

10419739344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 2795 counting only the distinct ones).

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

The spelling of 10419739344 in words is "ten billion, four hundred nineteen million, seven hundred thirty-nine thousand, three hundred forty-four".