Search a number
-
+
5100600887424 = 2732712715132983
BaseRepresentation
bin100101000111001001110…
…0000010000100010000000
3200001121112122102201020200
41022032103200100202000
51132032012311344144
614503103402405200
71034335434124050
oct112162340204200
920047478381220
105100600887424
111697175257239
126a4644b00800
132acca52204a3
14138c28541560
158ca295a1c69
hex4a393810880

5100600887424 has 384 divisors, whose sum is σ = 17018857390080. Its totient is φ = 1436220979200.

The previous prime is 5100600887401. The next prime is 5100600887477. The reversal of 5100600887424 is 4247880060015.

5100600887424 is a `hidden beast` number, since 5 + 10 + 0 + 600 + 8 + 8 + 7 + 4 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×51006008874242 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5100600887424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154626837 + ... + 154659819.

It is an arithmetic number, because the mean of its divisors is an integer number (44319941120).

Almost surely, 25100600887424 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 5100600887424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8509428695040).

5100600887424 is an abundant number, since it is smaller than the sum of its proper divisors (11918256502656).

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

5100600887424 is a wasteful number, since it uses less digits than its factorization.

5100600887424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33288 (or 33273 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 5100600887424 in words is "five trillion, one hundred billion, six hundred million, eight hundred eighty-seven thousand, four hundred twenty-four".