Search a number
-
+
689781726144 = 263271923115287
BaseRepresentation
bin10100000100110100011…
…00011101101111000000
32102221110002000022011200
422002122030131233000
542300133110214034
61244514212141200
7100556301634440
oct12023214355700
92387402008150
10689781726144
11246597890275
12b1826607800
135007a497954
14255581a4120
1512e21e80a99
hexa09a31dbc0

689781726144 has 504 divisors, whose sum is σ = 2461856237568. Its totient is φ = 180673182720.

The previous prime is 689781726107. The next prime is 689781726377. The reversal of 689781726144 is 441627187986.

689781726144 is a `hidden beast` number, since 6 + 8 + 9 + 7 + 8 + 1 + 7 + 2 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45114469 + ... + 45129755.

It is an arithmetic number, because the mean of its divisors is an integer number (4884635392).

Almost surely, 2689781726144 is an apocalyptic number.

689781726144 is a gapful number since it is divisible by the number (64) 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 689781726144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230928118784).

689781726144 is an abundant number, since it is smaller than the sum of its proper divisors (1772074511424).

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

689781726144 is a wasteful number, since it uses less digits than its factorization.

689781726144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15381 (or 15349 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 689781726144 in words is "six hundred eighty-nine billion, seven hundred eighty-one million, seven hundred twenty-six thousand, one hundred forty-four".