Search a number
-
+
677110898688 = 2133717415647
BaseRepresentation
bin10011101101001101111…
…01000110000000000000
32101201202000121120112220
421312212331012000000
542043210342224223
61235021020251040
766630303450510
oct11664675060000
92351660546486
10677110898688
112411854a5044
12ab28b0a0a80
134bb0b369203
1424ab5443840
151292e8a16e3
hex9da6f46000

677110898688 has 448 divisors, whose sum is σ = 2238514403328. Its totient is φ = 177607802880.

The previous prime is 677110898669. The next prime is 677110898701. The reversal of 677110898688 is 886898011776.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119903481 + ... + 119909127.

It is an arithmetic number, because the mean of its divisors is an integer number (4996683936).

Almost surely, 2677110898688 is an apocalyptic number.

677110898688 is a gapful number since it is divisible by the number (68) 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 677110898688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119257201664).

677110898688 is an abundant number, since it is smaller than the sum of its proper divisors (1561403504640).

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

677110898688 is a wasteful number, since it uses less digits than its factorization.

677110898688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5741 (or 5717 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 69.

The spelling of 677110898688 in words is "six hundred seventy-seven billion, one hundred ten million, eight hundred ninety-eight thousand, six hundred eighty-eight".