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43668006912 = 2113213717293
BaseRepresentation
bin101000101010110100…
…001110100000000000
311011201022001121001100
4220222310032200000
51203413002210122
632021044534400
73104063635335
oct505264164000
9134638047040
1043668006912
11175794a6a12
1285683b1400
13416bc83c5a
1421837c098c
151208a2daac
hexa2ad0e800

43668006912 has 144 divisors (see below), whose sum is σ = 127049160420. Its totient is φ = 14448918528.

The previous prime is 43668006901. The next prime is 43668006923. The reversal of 43668006912 is 21960086634.

It is an interprime number because it is at equal distance from previous prime (43668006901) and next prime (43668006923).

It can be written as a sum of positive squares in 2 ways, for example, as 41069454336 + 2598552576 = 202656^2 + 50976^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2516538 + ... + 2533830.

Almost surely, 243668006912 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 43668006912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63524580210).

43668006912 is an abundant number, since it is smaller than the sum of its proper divisors (83381153508).

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

43668006912 is a wasteful number, since it uses less digits than its factorization.

43668006912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17458 (or 17435 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 43668006912 in words is "forty-three billion, six hundred sixty-eight million, six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 137 144 192 256 274 288 384 411 512 548 576 768 822 1024 1096 1152 1233 1536 1644 2048 2192 2304 2466 3072 3288 4384 4608 4932 6144 6576 8768 9216 9864 13152 17293 17536 18432 19728 26304 34586 35072 39456 51879 52608 69172 70144 78912 103758 105216 138344 140288 155637 157824 207516 210432 276688 280576 311274 315648 415032 420864 553376 622548 631296 830064 841728 1106752 1245096 1262592 1660128 2213504 2369141 2490192 2525184 3320256 4427008 4738282 4980384 6640512 7107423 8854016 9476564 9960768 13281024 14214846 17708032 18953128 19921536 21322269 26562048 28429692 35416064 37906256 39843072 42644538 53124096 56859384 75812512 79686144 85289076 106248192 113718768 151625024 159372288 170578152 227437536 303250048 318744576 341156304 454875072 606500096 682312608 909750144 1213000192 1364625216 1819500288 2426000384 2729250432 3639000576 4852000768 5458500864 7278001152 10917001728 14556002304 21834003456 43668006912