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9959120712 = 23321926192
BaseRepresentation
bin10010100011001110…
…00001111101001000
3221201001211202021200
421101213001331020
5130344013330322
64324122304200
7501540062232
oct112147017510
927631752250
109959120712
114250733882
121b1b358060
13c293a6648
146a6961252
153d44d58ac
hex2519c1f48

9959120712 has 108 divisors (see below), whose sum is σ = 28513009395. Its totient is φ = 3139904736.

The previous prime is 9959120711. The next prime is 9959120713. The reversal of 9959120712 is 2170219599.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (9959120711) and next prime (9959120713).

It can be written as a sum of positive squares in only one way, i.e., 4979560356 + 4979560356 = 70566^2 + 70566^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=70566.

It is not an unprimeable number, because it can be changed into a prime (9959120711) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16088739 + ... + 16089357.

Almost surely, 29959120712 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 9959120712

9959120712 is an abundant number, since it is smaller than the sum of its proper divisors (18553888683).

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

9959120712 is a wasteful number, since it uses less digits than its factorization.

9959120712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The square root of 9959120712 is about 99795.3942424198. The cubic root of 9959120712 is about 2151.4949553711.

The spelling of 9959120712 in words is "nine billion, nine hundred fifty-nine million, one hundred twenty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 456 619 684 722 1083 1238 1368 1444 1857 2166 2476 2888 3249 3714 4332 4952 5571 6498 7428 8664 11142 11761 12996 14856 22284 23522 25992 35283 44568 47044 70566 94088 105849 141132 211698 223459 282264 383161 423396 446918 670377 766322 846792 893836 1149483 1340754 1532644 1787672 2011131 2298966 2681508 3065288 3448449 4022262 4597932 5363016 6896898 7280059 8044524 9195864 13793796 14560118 16089048 21840177 27587592 29120236 43680354 58240472 65520531 87360708 131041062 138321121 174721416 262082124 276642242 414963363 524164248 553284484 829926726 1106568968 1244890089 1659853452 2489780178 3319706904 4979560356 9959120712