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9999514080 = 253259377411
BaseRepresentation
bin10010101000000010…
…00111100111100000
3221210212211221120100
421110001013213200
5130434333422310
64332124142400
7502540316163
oct112401074740
927725757510
109999514080
114271512a26
121b30997a00
13c3487a24a
146ac077ada
153d7d13ec0
hex2540479e0

9999514080 has 144 divisors (see below), whose sum is σ = 34164368784. Its totient is φ = 2663331840.

The previous prime is 9999514079. The next prime is 9999514097. The reversal of 9999514080 is 804159999.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×99995140802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1345575 + ... + 1352985.

It is an arithmetic number, because the mean of its divisors is an integer number (237252561).

Almost surely, 29999514080 is an apocalyptic number.

9999514080 is a gapful number since it is divisible by the number (90) 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 9999514080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17082184392).

9999514080 is an abundant number, since it is smaller than the sum of its proper divisors (24164854704).

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

9999514080 is a wasteful number, since it uses less digits than its factorization.

9999514080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8369 (or 8358 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The square root of 9999514080 is about 99997.5703704845. The cubic root of 9999514080 is about 2154.3997933698.

The spelling of 9999514080 in words is "nine billion, nine hundred ninety-nine million, five hundred fourteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 937 1440 1874 2811 3748 4685 5622 7411 7496 8433 9370 11244 14055 14822 14992 16866 18740 22233 22488 28110 29644 29984 33732 37055 37480 42165 44466 44976 56220 59288 66699 67464 74110 74960 84330 88932 89952 111165 112440 118576 133398 134928 148220 149920 168660 177864 222330 224880 237152 266796 269856 296440 333495 337320 355728 444660 449760 533592 592880 666990 674640 711456 889320 1067184 1185760 1333980 1349280 1778640 2134368 2667960 3557280 5335920 6944107 10671840 13888214 20832321 27776428 34720535 41664642 55552856 62496963 69441070 83329284 104161605 111105712 124993926 138882140 166658568 208323210 222211424 249987852 277764280 312484815 333317136 416646420 499975704 555528560 624969630 666634272 833292840 999951408 1111057120 1249939260 1666585680 1999902816 2499878520 3333171360 4999757040 9999514080