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9980709312 = 263722333301
BaseRepresentation
bin10010100101110010…
…11000100111000000
3221202120110120021110
421102321120213000
5130420030144222
64330213123320
7502221425610
oct112271304700
927676416243
109980709312
1142619396a2
121b26629540
13c309c4b72
146a9780a40
153d634c30c
hex252e589c0

9980709312 has 112 divisors (see below), whose sum is σ = 30316009472. Its totient is φ = 2838758400.

The previous prime is 9980709311. The next prime is 9980709313. The reversal of 9980709312 is 2139070899.

It is an interprime number because it is at equal distance from previous prime (9980709311) and next prime (9980709313).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×99807093122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9980709311) 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, 283062 + ... + 316362.

It is an arithmetic number, because the mean of its divisors is an integer number (270678656).

Almost surely, 29980709312 is an apocalyptic number.

It is a pronic number, being equal to 99903×99904.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9980709312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15158004736).

9980709312 is an abundant number, since it is smaller than the sum of its proper divisors (20335300160).

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

9980709312 is a wasteful number, since it uses less digits than its factorization.

9980709312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33546 (or 33536 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 9980709312 is about 99903.4999987488. The cubic root of 9980709312 is about 2153.0484473495.

The spelling of 9980709312 in words is "nine billion, nine hundred eighty million, seven hundred nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 223 224 336 446 448 669 672 892 1338 1344 1561 1784 2676 3122 3568 4683 5352 6244 7136 9366 10704 12488 14272 18732 21408 24976 33301 37464 42816 49952 66602 74928 99903 99904 133204 149856 199806 233107 266408 299712 399612 466214 532816 699321 799224 932428 1065632 1398642 1598448 1864856 2131264 2797284 3196896 3729712 5594568 6393792 7426123 7459424 11189136 14852246 14918848 22278369 22378272 29704492 44556738 44756544 51982861 59408984 89113476 103965722 118817968 155948583 178226952 207931444 237635936 311897166 356453904 415862888 475271872 623794332 712907808 831725776 1247588664 1425815616 1663451552 2495177328 3326903104 4990354656 9980709312