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675255552576 = 26311346792219
BaseRepresentation
bin10011101001110000101…
…11100000101001000000
32101112221201110020011020
421310320113200221000
542030410410140301
61234112541545440
766533314331253
oct11647027405100
92345851406136
10675255552576
11240413179050
12aaa51875280
134b8a3b6b587
142497ac8109a
1512871a64436
hex9d385e0a40

675255552576 has 112 divisors (see below), whose sum is σ = 1949616380160. Its totient is φ = 204561656320.

The previous prime is 675255552571. The next prime is 675255552593.

675255552576 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6752555525762 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (675255552571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7276195 + ... + 7368413.

Almost surely, 2675255552576 is an apocalyptic number.

675255552576 is a gapful number since it is divisible by the number (66) 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 675255552576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974808190080).

675255552576 is an abundant number, since it is smaller than the sum of its proper divisors (1274360827584).

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

675255552576 is a wasteful number, since it uses less digits than its factorization.

675255552576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95712 (or 95702 counting only the distinct ones).

The product of its digits is 110250000, while the sum is 60.

The spelling of 675255552576 in words is "six hundred seventy-five billion, two hundred fifty-five million, five hundred fifty-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 3467 6934 10401 13868 20802 27736 38137 41604 55472 76274 83208 92219 110944 114411 152548 166416 184438 221888 228822 276657 305096 332832 368876 457644 553314 610192 665664 737752 915288 1014409 1106628 1220384 1475504 1830576 2028818 2213256 2440768 2951008 3043227 3661152 4057636 4426512 5902016 6086454 7322304 8115272 8853024 12172908 16230544 17706048 24345816 32461088 48691632 64922176 97383264 194766528 319723273 639446546 959169819 1278893092 1918339638 2557786184 3516956003 3836679276 5115572368 7033912006 7673358552 10231144736 10550868009 14067824012 15346717104 20462289472 21101736018 28135648024 30693434208 42203472036 56271296048 61386868416 84406944072 112542592096 168813888144 225085184192 337627776288 675255552576