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12432424565632 = 271712756379907
BaseRepresentation
bin1011010011101010011000…
…1111111111101110000000
31122000112021001012001221111
42310322212033333232000
53112143101142100012
642235213233133104
72422133033121601
oct264724617775600
948015231161844
1012432424565632
113a6361a611285
1214895a19ba194
136c24ac800226
1430da38201da8
151685e121cba7
hexb4ea63ffb80

12432424565632 has 128 divisors (see below), whose sum is σ = 26478417162240. Its totient is φ = 5794102960128.

The previous prime is 12432424565609. The next prime is 12432424565633. The reversal of 12432424565632 is 23656542423421.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12432424565633) 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, 155546223 + ... + 155626129.

It is an arithmetic number, because the mean of its divisors is an integer number (206862634080).

Almost surely, 212432424565632 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 12432424565632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13239208581120).

12432424565632 is an abundant number, since it is smaller than the sum of its proper divisors (14045992596608).

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

12432424565632 is a wasteful number, since it uses less digits than its factorization.

12432424565632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80628 (or 80616 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 49.

The spelling of 12432424565632 in words is "twelve trillion, four hundred thirty-two billion, four hundred twenty-four million, five hundred sixty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 127 128 136 254 272 508 544 563 1016 1088 1126 2032 2159 2176 2252 4064 4318 4504 8128 8636 9008 9571 16256 17272 18016 19142 34544 36032 38284 69088 71501 72064 76568 79907 138176 143002 153136 159814 276352 286004 306272 319628 572008 612544 639256 1144016 1215517 1225088 1278512 1358419 2288032 2431034 2557024 2716838 4576064 4862068 5114048 5433676 9152128 9724136 10148189 10228096 10867352 19448272 20296378 21734704 38896544 40592756 43469408 44987641 77793088 81185512 86938816 89975282 155586176 162371024 172519213 173877632 179950564 324742048 345038426 359901128 649484096 690076852 719802256 764789897 1298968192 1380153704 1439604512 1529579794 2760307408 2879209024 3059159588 5520614816 5713430407 5758418048 6118319176 11041229632 11426860814 12236638352 22082459264 22853721628 24473276704 45707443256 48946553408 91414886512 97128316919 97893106816 182829773024 194256633838 365659546048 388513267676 731319092096 777026535352 1554053070704 3108106141408 6216212282816 12432424565632