Search a number
-
+
5669777018880 = 212335133472273
BaseRepresentation
bin101001010000001100100…
…0010111001000000000000
3202002000200111202000012000
41102200121002321000000
51220343200404101010
620020354250304000
71123425234326112
oct122403102710000
922060614660160
105669777018880
1118965a2353107
12776a10a28000
13321871bc6810
141585c0b9b3b2
159c73d3067c0
hex528190b9000

5669777018880 has 832 divisors, whose sum is σ = 21779399819520. Its totient is φ = 1391003172864.

The previous prime is 5669777018849. The next prime is 5669777018909. The reversal of 5669777018880 is 888107779665.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5669777018799 and 5669777018808.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2494401424 + ... + 2494403696.

Almost surely, 25669777018880 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 5669777018880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10889699909760).

5669777018880 is an abundant number, since it is smaller than the sum of its proper divisors (16109622800640).

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

5669777018880 is a wasteful number, since it uses less digits than its factorization.

5669777018880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 72.

It can be divided in two parts, 566977 and 7018880, that added together give a palindrome (7585857).

The spelling of 5669777018880 in words is "five trillion, six hundred sixty-nine billion, seven hundred seventy-seven million, eighteen thousand, eight hundred eighty".