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10009347212152 = 231923127212910589
BaseRepresentation
bin1001000110100111101110…
…0101011100001101111000
31022102212212121122211101001
42101221323211130031320
52302443120341242102
633142121452134344
72052102645341551
oct221517345341570
938385777584331
1010009347212152
113209a38615942
121157a661673b4
13577b53826aa2
142686526c7328
15125575857487
hex91a7b95c378

10009347212152 has 128 divisors (see below), whose sum is σ = 20788254720000. Its totient is φ = 4496879794176.

The previous prime is 10009347212141. The next prime is 10009347212239. The reversal of 10009347212152 is 25121274390001.

It is a super-2 number, since 2×100093472121522 (a number of 27 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 945253674 + ... + 945264262.

It is an arithmetic number, because the mean of its divisors is an integer number (162408240000).

Almost surely, 210009347212152 is an apocalyptic number.

It is an amenable number.

10009347212152 is an abundant number, since it is smaller than the sum of its proper divisors (10778907507848).

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

10009347212152 is a wasteful number, since it uses less digits than its factorization.

10009347212152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12893 (or 12889 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 10009347212152 in words is "ten trillion, nine billion, three hundred forty-seven million, two hundred twelve thousand, one hundred fifty-two".

Divisors: 1 2 4 8 19 23 38 46 76 92 127 152 184 254 437 508 874 1016 1748 2129 2413 2921 3496 4258 4826 5842 8516 9652 10589 11684 17032 19304 21178 23368 40451 42356 48967 55499 80902 84712 97934 110998 161804 195868 201191 221996 243547 270383 323608 391736 402382 443992 487094 540766 804764 930373 974188 1081532 1344803 1609528 1860746 1948376 2163064 2689606 3721492 4627393 5137277 5379212 6218809 7442984 9254786 10274554 10758424 12437618 18509572 20549108 22543981 24875236 25551257 30930469 37019144 41098216 45087962 49750472 51102514 61860938 90175924 102205028 118157371 123721876 180351848 204410056 236314742 247443752 428335639 472629484 518511563 587678911 856671278 945258968 1037023126 1175357822 1713342556 2074046252 2350715644 2863085587 3426685112 4148092504 4701431288 5726171174 9851719697 11452342348 19703439394 22904684696 39406878788 54398626153 65850968501 78813757576 108797252306 131701937002 217594504612 263403874004 435189009224 526807748008 1251168401519 2502336803038 5004673606076 10009347212152