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10419873048 = 2335131034003
BaseRepresentation
bin10011011010001001…
…01010010100011000
3222220011211101200000
421231010222110120
5132314441414143
64441542013000
7516133313424
oct115504522430
928804741600
1010419873048
114467823932
122029717160
13ca0999470
1470bc1bb84
1540eb99bd3
hex26d12a518

10419873048 has 192 divisors, whose sum is σ = 31830839040. Its totient is φ = 3174194304.

The previous prime is 10419872971. The next prime is 10419873059. The reversal of 10419873048 is 84037891401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10419872994 and 10419873012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2601015 + ... + 2605017.

It is an arithmetic number, because the mean of its divisors is an integer number (165785620).

Almost surely, 210419873048 is an apocalyptic number.

10419873048 is a gapful number since it is divisible by the number (18) 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 10419873048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15915419520).

10419873048 is an abundant number, since it is smaller than the sum of its proper divisors (21410965992).

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

10419873048 is a wasteful number, since it uses less digits than its factorization.

10419873048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4140 (or 4124 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10419873048 in words is "ten billion, four hundred nineteen million, eight hundred seventy-three thousand, forty-eight".