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112523707552 = 25411675031021
BaseRepresentation
bin110100011001011101…
…1111000010010100000
3101202102222012121022011
41220302323320102200
53320422032120202
6123405341322304
711062304506264
oct1506273702240
9352388177264
10112523707552
11437a2776a33
1219983b66394
13a7c330a199
1456364460a4
152dd8957bd7
hex1a32ef84a0

112523707552 has 96 divisors (see below), whose sum is σ = 228971038464. Its totient is φ = 54399129600.

The previous prime is 112523707531. The next prime is 112523707573. The reversal of 112523707552 is 255707325211.

It is an interprime number because it is at equal distance from previous prime (112523707531) and next prime (112523707573).

It is a super-2 number, since 2×1125237075522 (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 110208802 + ... + 110209822.

It is an arithmetic number, because the mean of its divisors is an integer number (2385114984).

Almost surely, 2112523707552 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 112523707552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114485519232).

112523707552 is an abundant number, since it is smaller than the sum of its proper divisors (116447330912).

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

112523707552 is a wasteful number, since it uses less digits than its factorization.

112523707552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 40.

The spelling of 112523707552 in words is "one hundred twelve billion, five hundred twenty-three million, seven hundred seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 82 164 167 328 334 503 656 668 1006 1021 1312 1336 2012 2042 2672 4024 4084 5344 6847 8048 8168 13694 16096 16336 20623 27388 32672 41246 41861 54776 82492 83722 84001 109552 164984 167444 168002 170507 219104 329968 334888 336004 341014 513563 659936 669776 672008 682028 1027126 1339552 1344016 1364056 2054252 2688032 2728112 3444041 4108504 5456224 6888082 6990787 8217008 13776164 13981574 16434016 21056083 27552328 27963148 42112166 55104656 55926296 84224332 85765021 110209312 111852592 168448664 171530042 223705184 336897328 343060084 673794656 686120168 1372240336 2744480672 3516365861 7032731722 14065463444 28130926888 56261853776 112523707552