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10384438680 = 23335721117839
BaseRepresentation
bin10011010101111010…
…11111010110011000
3222210201011010212000
421222331133112120
5132231404014210
64434234321000
7515223162300
oct115275372630
928721133760
1010384438680
114449821530
122019889160
13c96540a95
14707236600
1540b9eaac0
hex26af5f598

10384438680 has 384 divisors, whose sum is σ = 43929216000. Its totient is φ = 2157684480.

The previous prime is 10384438663. The next prime is 10384438681. The reversal of 10384438680 is 8683448301.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10384438681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 573201 + ... + 591039.

It is an arithmetic number, because the mean of its divisors is an integer number (114399000).

Almost surely, 210384438680 is an apocalyptic number.

10384438680 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 10384438680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21964608000).

10384438680 is an abundant number, since it is smaller than the sum of its proper divisors (33544777320).

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

10384438680 is a wasteful number, since it uses less digits than its factorization.

10384438680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17884 (or 17867 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 10384438680 in words is "ten billion, three hundred eighty-four million, four hundred thirty-eight thousand, six hundred eighty".