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5104112640 = 2103511171777
BaseRepresentation
bin1001100000011101…
…01001010000000000
3111011201021210020220
410300032221100000
540423123101030
62202250503040
7240325145604
oct46016512000
914151253226
105104112640
11218a158410
12ba5434a80
136345b22c3
14365c43504
151ed16ea10
hex1303a9400

5104112640 has 352 divisors, whose sum is σ = 18867510144. Its totient is φ = 1163919360.

The previous prime is 5104112567. The next prime is 5104112653. The reversal of 5104112640 is 462114015.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5104112640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2871432 + ... + 2873208.

Almost surely, 25104112640 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 5104112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9433755072).

5104112640 is an abundant number, since it is smaller than the sum of its proper divisors (13763397504).

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

5104112640 is a wasteful number, since it uses less digits than its factorization.

5104112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5104112640 is about 71443.0727222731. The cubic root of 5104112640 is about 1721.7631820190.

Adding to 5104112640 its reverse (462114015), we get a palindrome (5566226655).

The spelling of 5104112640 in words is "five billion, one hundred four million, one hundred twelve thousand, six hundred forty".