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9989125032 = 2332383263829
BaseRepresentation
bin10010100110110010…
…11111001110101000
3221210011022010110210
421103121133032220
5130424204000112
64331113341120
7502353106335
oct112331371650
927704263423
109989125032
114266667537
121b294077a0
13c32680593
146aa93198c
153d6e60b3c
hex25365f3a8

9989125032 has 128 divisors (see below), whose sum is σ = 26504755200. Its totient is φ = 3130820352.

The previous prime is 9989125031. The next prime is 9989125033. The reversal of 9989125032 is 2305219899.

It is an interprime number because it is at equal distance from previous prime (9989125031) and next prime (9989125033).

It is not an unprimeable number, because it can be changed into a prime (9989125031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12049194 + ... + 12050022.

It is an arithmetic number, because the mean of its divisors is an integer number (207068400).

Almost surely, 29989125032 is an apocalyptic number.

9989125032 is a gapful number since it is divisible by the number (92) 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 9989125032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13252377600).

9989125032 is an abundant number, since it is smaller than the sum of its proper divisors (16515630168).

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

9989125032 is a wasteful number, since it uses less digits than its factorization.

9989125032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 9989125032 is about 99945.6103688401. The cubic root of 9989125032 is about 2153.6534264791.

The spelling of 9989125032 in words is "nine billion, nine hundred eighty-nine million, one hundred twenty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 83 92 138 166 184 249 263 276 332 498 526 552 664 789 829 996 1052 1578 1658 1909 1992 2104 2487 3156 3316 3818 4974 5727 6049 6312 6632 7636 9948 11454 12098 15272 18147 19067 19896 21829 22908 24196 36294 38134 43658 45816 48392 57201 65487 68807 72588 76268 87316 114402 130974 137614 145176 152536 174632 206421 218027 228804 261948 275228 412842 436054 457608 502067 523896 550456 654081 825684 872108 1004134 1308162 1506201 1582561 1651368 1744216 2008268 2616324 3012402 3165122 4016536 4747683 5014621 5232648 6024804 6330244 9495366 10029242 12049608 12660488 15043863 18096241 18990732 20058484 30087726 36192482 37981464 40116968 54288723 60175452 72384964 108577446 120350904 144769928 217154892 416213543 434309784 832427086 1248640629 1664854172 2497281258 3329708344 4994562516 9989125032