Search a number
-
+
5601932835840 = 210345111227977
BaseRepresentation
bin101000110000100110100…
…1101110111110000000000
3201211112120022221102020000
41101201031031313300000
51213240224301221330
615525254210120000
71115504055306105
oct121411515676000
921745508842200
105601932835840
11186a848053250
12765837b80000
1331834c2b1003
141551c6600aac
159aabc0d6560
hex5184d377c00

5601932835840 has 440 divisors, whose sum is σ = 21899101455792. Its totient is φ = 1358043217920.

The previous prime is 5601932835773. The next prime is 5601932835857. The reversal of 5601932835840 is 485382391065.

5601932835840 is a `hidden beast` number, since 5 + 60 + 193 + 2 + 8 + 358 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3947932 + ... + 5175908.

Almost surely, 25601932835840 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 5601932835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10949550727896).

5601932835840 is an abundant number, since it is smaller than the sum of its proper divisors (16297168619952).

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

5601932835840 is a wasteful number, since it uses less digits than its factorization.

5601932835840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228025 (or 1227998 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 5601932835840 in words is "five trillion, six hundred one billion, nine hundred thirty-two million, eight hundred thirty-five thousand, eight hundred forty".