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10067242010064 = 243474579764617
BaseRepresentation
bin1001001001111111011001…
…1000100100010111010000
31022122102022101221021202120
42102133312120210113100
52304420202423310224
633224454354414240
72056222433115051
oct222376630442720
938572271837676
1010067242010064
113231547731468
121167122b91380
1358044c094365
1426b385738728
15126d13366779
hex927f66245d0

10067242010064 has 80 divisors (see below), whose sum is σ = 26618504901888. Its totient is φ = 3277161363456.

The previous prime is 10067242010047. The next prime is 10067242010093. The reversal of 10067242010064 is 46001024276001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3851317 + ... + 5913300.

Almost surely, 210067242010064 is an apocalyptic number.

It is an amenable number.

10067242010064 is an abundant number, since it is smaller than the sum of its proper divisors (16551262891824).

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

10067242010064 is a wasteful number, since it uses less digits than its factorization.

10067242010064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9765132 (or 9765126 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

Adding to 10067242010064 its reverse (46001024276001), we get a palindrome (56068266286065).

The spelling of 10067242010064 in words is "ten trillion, sixty-seven billion, two hundred forty-two million, ten thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 457 564 752 914 1128 1371 1828 2256 2742 3656 5484 7312 10968 21479 21936 42958 64437 85916 128874 171832 257748 343664 515496 1030992 9764617 19529234 29293851 39058468 58587702 78116936 117175404 156233872 234350808 458936999 468701616 917873998 1376810997 1835747996 2753621994 3671495992 4462429969 5507243988 7342991984 8924859938 11014487976 13387289907 17849719876 22028975952 26774579814 35699439752 53549159628 71398879504 107098319256 209734208543 214196638512 419468417086 629202625629 838936834172 1258405251258 1677873668344 2516810502516 3355747336688 5033621005032 10067242010064