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5414615640 = 2333572102317
BaseRepresentation
bin1010000101011110…
…00111101001011000
3111222100112222022000
411002233013221120
542042120200030
62253142001000
7251115321300
oct50257075130
914870488260
105414615640
112329455965
121071416160
13683a198a5
1439518c600
1521a555860
hex142bc7a58

5414615640 has 192 divisors, whose sum is σ = 20995653600. Its totient is φ = 1237614336.

The previous prime is 5414615629. The next prime is 5414615669. The reversal of 5414615640 is 465164145.

5414615640 is a `hidden beast` number, since 5 + 4 + 1 + 4 + 6 + 1 + 5 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5414615595 and 5414615604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1762 + ... + 104078.

Almost surely, 25414615640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5414615640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10497826800).

5414615640 is an abundant number, since it is smaller than the sum of its proper divisors (15581037960).

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

5414615640 is a wasteful number, since it uses less digits than its factorization.

5414615640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102351 (or 102334 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5414615640 is about 73584.0719177731. The cubic root of 5414615640 is about 1755.9920463246.

Adding to 5414615640 its reverse (465164145), we get a palindrome (5879779785).

The spelling of 5414615640 in words is "five billion, four hundred fourteen million, six hundred fifteen thousand, six hundred forty".