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10714463424 = 2632729432131
BaseRepresentation
bin10011111101010000…
…11011110011000000
31000122201011010200200
421332220123303000
5133420400312144
64531104045200
7526341302460
oct117650336300
930581133620
1010714463424
1145a9042a55
1220b0303800
131019a21bb2
14738dc3ba0
1542a98ac69
hex27ea1bcc0

10714463424 has 336 divisors, whose sum is σ = 37170481920. Its totient is φ = 2885621760.

The previous prime is 10714463423. The next prime is 10714463437. The reversal of 10714463424 is 42436441701.

10714463424 is a `hidden beast` number, since 1 + 0 + 7 + 14 + 4 + 634 + 2 + 4 = 666.

10714463424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×107144634242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10714463423) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5026839 + ... + 5028969.

Almost surely, 210714463424 is an apocalyptic number.

10714463424 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 10714463424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18585240960).

10714463424 is an abundant number, since it is smaller than the sum of its proper divisors (26456018496).

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

10714463424 is a wasteful number, since it uses less digits than its factorization.

10714463424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 10714463424 in words is "ten billion, seven hundred fourteen million, four hundred sixty-three thousand, four hundred twenty-four".