Search a number
-
+
5477685608808 = 23327316717233037
BaseRepresentation
bin100111110110101111110…
…0000010100000101101000
3201101122212022212022112200
41033231133200110011220
51204221300003440213
615352225232540200
71103515104304440
oct117553740240550
921348768768480
105477685608808
1118220897a5646
127457419b1660
1330970b1c3a6a
1414d19b18b120
1597749323273
hex4fb5f814168

5477685608808 has 384 divisors, whose sum is σ = 17779048734720. Its totient is φ = 1490605079040.

The previous prime is 5477685608807. The next prime is 5477685608833. The reversal of 5477685608808 is 8088065867745.

5477685608808 is a `hidden beast` number, since 5 + 4 + 7 + 7 + 6 + 8 + 5 + 608 + 8 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5477685608807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1803648666 + ... + 1803651702.

It is an arithmetic number, because the mean of its divisors is an integer number (46299606080).

Almost surely, 25477685608808 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 5477685608808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8889524367360).

5477685608808 is an abundant number, since it is smaller than the sum of its proper divisors (12301363125912).

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

5477685608808 is a wasteful number, since it uses less digits than its factorization.

5477685608808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4877 (or 4870 counting only the distinct ones).

The product of its (nonzero) digits is 722534400, while the sum is 72.

The spelling of 5477685608808 in words is "five trillion, four hundred seventy-seven billion, six hundred eighty-five million, six hundred eight thousand, eight hundred eight".