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675528825576 = 233112232620119
BaseRepresentation
bin10011101010010001010…
…01111101101011101000
32101120122202122221020110
421311020221331223220
542031440334404301
61234200023054320
766543143163453
oct11651051755350
92346582587213
10675528825576
11240543458100
12aab092a13a0
134b91866c087
14249a529849a
151288aa440d6
hex9d48a7dae8

675528825576 has 48 divisors (see below), whose sum is σ = 1856308557600. Its totient is φ = 204705703840.

The previous prime is 675528825539. The next prime is 675528825577.

675528825576 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (675528825577) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116307156 + ... + 116312963.

It is an arithmetic number, because the mean of its divisors is an integer number (38673094950).

Almost surely, 2675528825576 is an apocalyptic number.

675528825576 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

675528825576 is an abundant number, since it is smaller than the sum of its proper divisors (1180779732024).

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

675528825576 is a wasteful number, since it uses less digits than its factorization.

675528825576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232620150 (or 232620135 counting only the distinct ones).

The product of its digits is 282240000, while the sum is 66.

The spelling of 675528825576 in words is "six hundred seventy-five billion, five hundred twenty-eight million, eight hundred twenty-five thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 232620119 465240238 697860357 930480476 1395720714 1860960952 2558821309 2791441428 5117642618 5582882856 7676463927 10235285236 15352927854 20470570472 28147034399 30705855708 56294068798 61411711416 84441103197 112588137596 168882206394 225176275192 337764412788 675528825576