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10668399242592 = 2537131221199547
BaseRepresentation
bin1001101100111110111000…
…1001011010110101100000
31101202220000002022211211210
42123033232021122311200
52344242340201230332
634404554524310120
72150523610225620
oct233175611326540
941686002284753
1010668399242592
11344349627a983
1212437353a2340
135c50446c0930
1428c4d3578880
15137799ac2ecc
hex9b3ee25ad60

10668399242592 has 96 divisors (see below), whose sum is σ = 34467136042752. Its totient is φ = 2813643753984.

The previous prime is 10668399242587. The next prime is 10668399242603. The reversal of 10668399242592 is 29524299386601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×106683992425923 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610591038 + ... + 610608509.

It is an arithmetic number, because the mean of its divisors is an integer number (359032667112).

Almost surely, 210668399242592 is an apocalyptic number.

10668399242592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10668399242592 is an abundant number, since it is smaller than the sum of its proper divisors (23798736800160).

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

10668399242592 is a wasteful number, since it uses less digits than its factorization.

10668399242592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221199580 (or 1221199572 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 66.

The spelling of 10668399242592 in words is "ten trillion, six hundred sixty-eight billion, three hundred ninety-nine million, two hundred forty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 1221199547 2442399094 3663598641 4884798188 7327197282 8548396829 9769596376 14654394564 15875594111 17096793658 19539192752 25645190487 29308789128 31751188222 34193587316 39078385504 47626782333 51290380974 58617578256 63502376444 68387174632 95253564666 102580761948 111129158777 117235156512 127004752888 136774349264 190507129332 205161523896 222258317554 254009505776 273548698528 333387476331 381014258664 410323047792 444516635108 508019011552 666774952662 762028517328 820646095584 889033270216 1333549905324 1524057034656 1778066540432 2667099810648 3556133080864 5334199621296 10668399242592