Search a number
-
+
5591698103952 = 2433192316167283
BaseRepresentation
bin101000101011110101100…
…1011011101111010010000
3201210120011001111011111000
41101113223023131322100
51213103244203311302
615520442440222000
71114662330442452
oct121275313357220
921716131434430
105591698103952
111866475893744
1276386046a900
133173aaa9883c
141548d52182d2
159a6bd80d31c
hex515eb2dde90

5591698103952 has 960 divisors, whose sum is σ = 18101542379520. Its totient is φ = 1649886796800.

The previous prime is 5591698103951. The next prime is 5591698103963. The reversal of 5591698103952 is 2593018961955.

5591698103952 is a `hidden beast` number, since 5 + 5 + 9 + 169 + 81 + 0 + 395 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5591698103952.

It is not an unprimeable number, because it can be changed into a prime (5591698103951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19758650403 + ... + 19758650685.

It is an arithmetic number, because the mean of its divisors is an integer number (18855773312).

Almost surely, 25591698103952 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 5591698103952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9050771189760).

5591698103952 is an abundant number, since it is smaller than the sum of its proper divisors (12509844275568).

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

5591698103952 is a wasteful number, since it uses less digits than its factorization.

5591698103952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 26244000, while the sum is 63.

The spelling of 5591698103952 in words is "five trillion, five hundred ninety-one billion, six hundred ninety-eight million, one hundred three thousand, nine hundred fifty-two".