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10714064130 = 2335721183887
BaseRepresentation
bin10011111101001101…
…11010010100000010
31000122200101211222000
421332212322110002
5133420300023010
64531051324430
7526335020400
oct117646722402
930580354860
1010714064130
1145a889aa60
1220b0150716
131019912223
14738d1c470
1542a90c7c0
hex27e9ba502

10714064130 has 384 divisors, whose sum is σ = 36735068160. Its totient is φ = 2196996480.

The previous prime is 10714064089. The next prime is 10714064149. The reversal of 10714064130 is 3146041701.

It is a happy number.

10714064130 is a `hidden beast` number, since 1 + 0 + 7 + 14 + 0 + 641 + 3 + 0 = 666.

10714064130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107140641302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10714064094 and 10714064103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12078547 + ... + 12079433.

It is an arithmetic number, because the mean of its divisors is an integer number (95664240).

Almost surely, 210714064130 is an apocalyptic number.

10714064130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10714064130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18367534080).

10714064130 is an abundant number, since it is smaller than the sum of its proper divisors (26021004030).

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

10714064130 is a wasteful number, since it uses less digits than its factorization.

10714064130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 10714064130 in words is "ten billion, seven hundred fourteen million, sixty-four thousand, one hundred thirty".