Search a number
-
+
5072709058560 = 21539511213
BaseRepresentation
bin100100111010001010100…
…0001011000000000000000
3122221221112211001000000000
41021310111001120000000
51131102402004333220
614442212000000000
71032330313363533
oct111642501300000
918857484030000
105072709058560
111686362022400
1269b160000000
132aa47b847540
141377400aca1a
158be45aa6390
hex49d15058000

5072709058560 has 1920 divisors, whose sum is σ = 21616203858480. Its totient is φ = 1135151677440.

The previous prime is 5072709058531. The next prime is 5072709058639. The reversal of 5072709058560 is 658509072705.

5072709058560 is a `hidden beast` number, since 5 + 0 + 7 + 2 + 70 + 9 + 0 + 5 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5072709058497 and 5072709058506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 390208389114 + ... + 390208389126.

Almost surely, 25072709058560 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 5072709058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10808101929240).

5072709058560 is an abundant number, since it is smaller than the sum of its proper divisors (16543494799920).

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

5072709058560 is an frugal number, since it uses more digits than its factorization.

5072709058560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 5072709058560 in words is "five trillion, seventy-two billion, seven hundred nine million, fifty-eight thousand, five hundred sixty".