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689672483136 = 2632713193189251
BaseRepresentation
bin10100000100100111010…
…11101111000101000000
32102221011110110011221100
422002103223233011000
542244422123430021
61244455310454400
7100553504244630
oct12022353570500
92387143404840
10689672483136
1124654115639a
12b17b5b04400
1350060969010
14255478886c0
1512e175a2626
hexa093aef140

689672483136 has 1344 divisors, whose sum is σ = 2684034662400. Its totient is φ = 164229120000.

The previous prime is 689672483099. The next prime is 689672483147. The reversal of 689672483136 is 631384276986.

689672483136 is a `hidden beast` number, since 6 + 89 + 6 + 72 + 483 + 1 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 2747699011 + ... + 2747699261.

It is an arithmetic number, because the mean of its divisors is an integer number (1997049600).

Almost surely, 2689672483136 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 689672483136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342017331200).

689672483136 is an abundant number, since it is smaller than the sum of its proper divisors (1994362179264).

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

689672483136 is a wasteful number, since it uses less digits than its factorization.

689672483136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 415 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 689672483136 in words is "six hundred eighty-nine billion, six hundred seventy-two million, four hundred eighty-three thousand, one hundred thirty-six".