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676522700100 = 223452132192372
BaseRepresentation
bin10011101100000111110…
…01010010110101000100
32101200020000210222210000
421312003321102311010
542041004302400400
61234442405201300
766606602033022
oct11660371226504
92350200728700
10676522700100
11240a03477805
12ab146100230
134ba46543100
1424a5b28d712
15128e7e15600
hex9d83e52d44

676522700100 has 1215 divisors, whose sum is σ = 2575818553077. Its totient is φ = 153500106240.

The previous prime is 676522700093. The next prime is 676522700213. The reversal of 676522700100 is 1007225676.

The square root of 676522700100 is 822510.

It is a perfect power (a square), and thus also a powerful number.

676522700100 is a `hidden beast` number, since 67 + 6 + 522 + 70 + 0 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 390417527556 + 286105172544 = 624834^2 + 534888^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 18284397282 + ... + 18284397318.

Almost surely, 2676522700100 is an apocalyptic number.

676522700100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

676522700100 is the 822510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 676522700100

676522700100 is an abundant number, since it is smaller than the sum of its proper divisors (1899295852977).

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

676522700100 is a wasteful number, since it uses less digits than its factorization.

676522700100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Multiplying 676522700100 by its sum of digits (36), we get a square (24354817203600 = 49350602).

676522700100 divided by its sum of digits (36) gives a square (18792297225 = 1370852).

Adding to 676522700100 its reverse (1007225676), we get a palindrome (677529925776).

The spelling of 676522700100 in words is "six hundred seventy-six billion, five hundred twenty-two million, seven hundred thousand, one hundred".