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10552194288 = 24322312725087
BaseRepresentation
bin10011101001111010…
…11011010011110000
31000020101211000021200
421310331123103300
5133102330204123
64503030051200
7522331112556
oct116475332360
930211730250
1010552194288
114525490829
122065aa9b00
13cc221865c
14721623bd6
1541b5d6143
hex274f5b4f0

10552194288 has 120 divisors (see below), whose sum is σ = 31059345408. Its totient is φ = 3337842816.

The previous prime is 10552194277. The next prime is 10552194319. The reversal of 10552194288 is 88249125501.

10552194288 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 219 + 428 + 8 = 666.

It is a super-2 number, since 2×105521942882 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 408081 + ... + 433167.

Almost surely, 210552194288 is an apocalyptic number.

10552194288 is a gapful number since it is divisible by the number (18) 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 10552194288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15529672704).

10552194288 is an abundant number, since it is smaller than the sum of its proper divisors (20507151120).

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

10552194288 is a wasteful number, since it uses less digits than its factorization.

10552194288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25251 (or 25242 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

It can be divided in two parts, 105521 and 94288, that added together give a square (199809 = 4472).

The spelling of 10552194288 in words is "ten billion, five hundred fifty-two million, one hundred ninety-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 127 138 144 184 207 254 276 368 381 414 508 552 762 828 1016 1104 1143 1524 1656 2032 2286 2921 3048 3312 4572 5842 6096 8763 9144 11684 17526 18288 23368 25087 26289 35052 46736 50174 52578 70104 75261 100348 105156 140208 150522 200696 210312 225783 301044 401392 420624 451566 577001 602088 903132 1154002 1204176 1731003 1806264 2308004 3186049 3462006 3612528 4616008 5193009 6372098 6924012 9232016 9558147 10386018 12744196 13848024 19116294 20772036 25488392 27696048 28674441 38232588 41544072 50976784 57348882 73279127 76465176 83088144 114697764 146558254 152930352 219837381 229395528 293116508 439674762 458791056 586233016 659512143 879349524 1172466032 1319024286 1758699048 2638048572 3517398096 5276097144 10552194288