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10380238848 = 21332720113
BaseRepresentation
bin10011010101011010…
…11110000000000000
3222210102020202202200
421222231132000000
5132224320120343
64434004313200
7515142401010
oct115255360000
928712222680
1010380238848
1144474130a1
1220183a2800
13c95700285
14706861c40
1540b46b4d3
hex26ab5e000

10380238848 has 168 divisors, whose sum is σ = 34270876848. Its totient is φ = 2965635072.

The previous prime is 10380238831. The next prime is 10380238867. The reversal of 10380238848 is 84883208301.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 506040 + ... + 526152.

Almost surely, 210380238848 is an apocalyptic number.

10380238848 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 10380238848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17135438424).

10380238848 is an abundant number, since it is smaller than the sum of its proper divisors (23890638000).

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

10380238848 is an equidigital number, since it uses as much as digits as its factorization.

10380238848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20152 (or 20125 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

It can be divided in two parts, 103802388 and 48, that added together give a triangular number (103802436 = T14408).

The spelling of 10380238848 in words is "ten billion, three hundred eighty million, two hundred thirty-eight thousand, eight hundred forty-eight".