Search a number
-
+
5661802667808 = 253972944281
BaseRepresentation
bin101001001100011110110…
…1111001001111100100000
3202001021002202121000000000
41102120331233021330200
51220230332440332213
620012555104300000
71123023514423140
oct122307557117440
922037082530000
105661802667808
111893180004121
12775366311600
13320ba0a940a1
14158065a8c920
159c4231c5c73
hex5263dbc9f20

5661802667808 has 480 divisors, whose sum is σ = 19767612332160. Its totient is φ = 1561841326080.

The previous prime is 5661802667777. The next prime is 5661802667831. The reversal of 5661802667808 is 8087662081665.

5661802667808 is a `hidden beast` number, since 5 + 6 + 618 + 0 + 2 + 6 + 6 + 7 + 8 + 0 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 127838628 + ... + 127882908.

It is an arithmetic number, because the mean of its divisors is an integer number (41182525692).

Almost surely, 25661802667808 is an apocalyptic number.

5661802667808 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5661802667808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9883806166080).

5661802667808 is an abundant number, since it is smaller than the sum of its proper divisors (14105809664352).

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

5661802667808 is an frugal number, since it uses more digits than its factorization.

5661802667808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44354 (or 44322 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 5661802667808 in words is "five trillion, six hundred sixty-one billion, eight hundred two million, six hundred sixty-seven thousand, eight hundred eight".