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7064132040 = 2333572294603
BaseRepresentation
bin1101001010000111…
…00001100111001000
3200020022102002102000
412211003201213020
5103431404211130
63124544511000
7340025063100
oct64503414710
920208362360
107064132040
112aa5577a59
12145191b460
1388769b8b4
144b0292200
152b5286260
hex1a50e19c8

7064132040 has 384 divisors, whose sum is σ = 28342224000. Its totient is φ = 1558642176.

The previous prime is 7064132039. The next prime is 7064132041. The reversal of 7064132040 is 402314607.

It is an interprime number because it is at equal distance from previous prime (7064132039) and next prime (7064132041).

It is a super-2 number, since 2×70641320402 = 99803922957109123200, which 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 = 7064131995 and 7064132013.

It is not an unprimeable number, because it can be changed into a prime (7064132041) 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, 1532379 + ... + 1536981.

It is an arithmetic number, because the mean of its divisors is an integer number (73807875).

Almost surely, 27064132040 is an apocalyptic number.

7064132040 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 7064132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14171112000).

7064132040 is an abundant number, since it is smaller than the sum of its proper divisors (21278091960).

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

7064132040 is a wasteful number, since it uses less digits than its factorization.

7064132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4666 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 7064132040 is about 84048.3910613404. The cubic root of 7064132040 is about 1918.7553456616.

Adding to 7064132040 its reverse (402314607), we get a palindrome (7466446647).

The spelling of 7064132040 in words is "seven billion, sixty-four million, one hundred thirty-two thousand, forty".