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9901263984 = 2432914394943
BaseRepresentation
bin10010011100010100…
…10100110001110000
3221120000222022202220
421032022110301300
5130234210421414
64314254241040
7500235232563
oct111612246160
927500868686
109901263984
1142210071a7
121b03ab6180
13c1a3ca0b1
1469cdc04da
153ce3a7ca9
hex24e294c70

9901263984 has 80 divisors (see below), whose sum is σ = 26484019200. Its totient is φ = 3183755008.

The previous prime is 9901263929. The next prime is 9901263989. The reversal of 9901263984 is 4893621099.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9901263989) 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, 2000617 + ... + 2005559.

It is an arithmetic number, because the mean of its divisors is an integer number (331050240).

Almost surely, 29901263984 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 9901263984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13242009600).

9901263984 is an abundant number, since it is smaller than the sum of its proper divisors (16582755216).

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

9901263984 is a wasteful number, since it uses less digits than its factorization.

9901263984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6422 (or 6416 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The square root of 9901263984 is about 99505.0952665239. The cubic root of 9901263984 is about 2147.3205477333.

The spelling of 9901263984 in words is "nine billion, nine hundred one million, two hundred sixty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 1439 2878 4317 4943 5756 8634 9886 11512 14829 17268 19772 23024 29658 34536 39544 41731 59316 69072 79088 83462 118632 125193 143347 166924 237264 250386 286694 333848 430041 500772 573388 667696 860082 1001544 1146776 1720164 2003088 2293552 3440328 6880656 7112977 14225954 21338931 28451908 42677862 56903816 85355724 113807632 170711448 206276333 341422896 412552666 618828999 825105332 1237657998 1650210664 2475315996 3300421328 4950631992 9901263984