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9881114112 = 293213116369
BaseRepresentation
bin10010011001111010…
…11101011000000000
3221111122001121100100
421030331131120000
5130214031122422
64312254322400
7466602040602
oct111475353000
927448047310
109881114112
1142106a4311
121ab91b9400
13c161936ac
1469a457172
153cc7277ac
hex24cf5d600

9881114112 has 120 divisors (see below), whose sum is σ = 28737011160. Its totient is φ = 3268362240.

The previous prime is 9881114077. The next prime is 9881114147. The reversal of 9881114112 is 2114111889.

It is an interprime number because it is at equal distance from previous prime (9881114077) and next prime (9881114147).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 595464 + ... + 611832.

It is an arithmetic number, because the mean of its divisors is an integer number (239475093).

Almost surely, 29881114112 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 9881114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14368505580).

9881114112 is an abundant number, since it is smaller than the sum of its proper divisors (18855897048).

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

9881114112 is a wasteful number, since it uses less digits than its factorization.

9881114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16524 (or 16505 counting only the distinct ones).

The product of its digits is 4608, while the sum is 36.

The square root of 9881114112 is about 99403.7932475416. The cubic root of 9881114112 is about 2145.8629015536.

The spelling of 9881114112 in words is "nine billion, eight hundred eighty-one million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 131 144 192 256 262 288 384 393 512 524 576 768 786 1048 1152 1179 1536 1572 2096 2304 2358 3144 4192 4608 4716 6288 8384 9432 12576 16369 16768 18864 25152 32738 33536 37728 49107 50304 65476 67072 75456 98214 100608 130952 147321 150912 196428 201216 261904 294642 301824 392856 523808 589284 603648 785712 1047616 1178568 1571424 2095232 2144339 2357136 3142848 4190464 4288678 4714272 6285696 6433017 8380928 8577356 9428544 12571392 12866034 17154712 18857088 19299051 25142784 25732068 34309424 37714176 38598102 51464136 68618848 75428352 77196204 102928272 137237696 154392408 205856544 274475392 308784816 411713088 548950784 617569632 823426176 1097901568 1235139264 1646852352 2470278528 3293704704 4940557056 9881114112