Search a number
-
+
5597088517440 = 26355771251577
BaseRepresentation
bin101000101110010110001…
…1110010000110101000000
3201211002001201111112200000
41101130230132100311000
51213200314130024230
615523133355400000
71115243033263620
oct121345436206500
921732051445600
105597088517440
111868791609122
12764905753000
13317a59790414
14154c870a6880
159a8d6b82b60
hex5172c790d40

5597088517440 has 1344 divisors, whose sum is σ = 23270580523008. Its totient is φ = 1254113280000.

The previous prime is 5597088517429. The next prime is 5597088517453. The reversal of 5597088517440 is 447158807955.

5597088517440 is a `hidden beast` number, since 5 + 5 + 9 + 70 + 8 + 8 + 517 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9700326432 + ... + 9700327008.

It is an arithmetic number, because the mean of its divisors is an integer number (17314420032).

Almost surely, 25597088517440 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 5597088517440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11635290261504).

5597088517440 is an abundant number, since it is smaller than the sum of its proper divisors (17673492005568).

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

5597088517440 is a wasteful number, since it uses less digits than its factorization.

5597088517440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 63.

The spelling of 5597088517440 in words is "five trillion, five hundred ninety-seven billion, eighty-eight million, five hundred seventeen thousand, four hundred forty".