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9954143460 = 2234517934327
BaseRepresentation
bin10010100010101000…
…00010110011100100
3221200201110212210000
421101110002303210
5130341230042320
64323423501300
7501446552262
oct112124026344
927621425700
109954143460
114248944348
121b19757830
13c28353021
146a6027432
153d3d50c90
hex251502ce4

9954143460 has 120 divisors (see below), whose sum is σ = 31401881280. Its totient is φ = 2639532096.

The previous prime is 9954143447. The next prime is 9954143473. The reversal of 9954143460 is 643414599.

9954143460 is a `hidden beast` number, since 9 + 9 + 541 + 43 + 4 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (9954143447) and next prime (9954143473).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 272817 + ... + 307143.

It is an arithmetic number, because the mean of its divisors is an integer number (261682344).

Almost surely, 29954143460 is an apocalyptic number.

9954143460 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 9954143460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15700940640).

9954143460 is an abundant number, since it is smaller than the sum of its proper divisors (21447737820).

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

9954143460 is a wasteful number, since it uses less digits than its factorization.

9954143460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34527 (or 34516 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 9954143460 is about 99770.4538428086. The cubic root of 9954143460 is about 2151.1364793803.

The spelling of 9954143460 in words is "nine billion, nine hundred fifty-four million, one hundred forty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 179 180 270 324 358 405 537 540 716 810 895 1074 1611 1620 1790 2148 2685 3222 3580 4833 5370 6444 8055 9666 10740 14499 16110 19332 24165 28998 32220 34327 48330 57996 68654 72495 96660 102981 137308 144990 171635 205962 289980 308943 343270 411924 514905 617886 686540 926829 1029810 1235772 1544715 1853658 2059620 2780487 3089430 3707316 4634145 5560974 6144533 6178860 9268290 11121948 12289066 13902435 18433599 18536580 24578132 27804870 30722665 36867198 55300797 55609740 61445330 73734396 92167995 110601594 122890660 165902391 184335990 221203188 276503985 331804782 368671980 497707173 553007970 663609564 829511955 995414346 1106015940 1659023910 1990828692 2488535865 3318047820 4977071730 9954143460