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7016012640 = 25365713661
BaseRepresentation
bin1101000100010111…
…11101101101100000
3200002221212101000000
412202023331231200
5103332044401030
63120105300000
7335602060230
oct64213755540
920087771000
107016012640
112a803a115a
121439794600
1387a721490
144a7b27cc0
152b0e2d860
hex1a22fdb60

7016012640 has 672 divisors, whose sum is σ = 30632890176. Its totient is φ = 1478062080.

The previous prime is 7016012623. The next prime is 7016012677. The reversal of 7016012640 is 462106107.

7016012640 is a `hidden beast` number, since 7 + 0 + 1 + 6 + 0 + 12 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 10613910 + ... + 10614570.

It is an arithmetic number, because the mean of its divisors is an integer number (45584658).

Almost surely, 27016012640 is an apocalyptic number.

7016012640 is a gapful number since it is divisible by the number (70) 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 7016012640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15316445088).

7016012640 is an abundant number, since it is smaller than the sum of its proper divisors (23616877536).

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

7016012640 is a wasteful number, since it uses less digits than its factorization.

7016012640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 691 counting only the distinct ones).

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

The square root of 7016012640 is about 83761.6418177199. The cubic root of 7016012640 is about 1914.3886947538.

Adding to 7016012640 its reverse (462106107), we get a palindrome (7478118747).

The spelling of 7016012640 in words is "seven billion, sixteen million, twelve thousand, six hundred forty".