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10001055650094 = 23317281234716519
BaseRepresentation
bin1001000110001000110101…
…0111101001000100101110
31022102002110202121211112000
42101202031113221010232
52302324130221300334
633134231015153130
72051360324254335
oct221421527510456
938362422554460
1010001055650094
113206473207613
1211563313757a6
13577131a7b752
142680a7404d1c
1512523c968299
hex9188d5e912e

10001055650094 has 128 divisors (see below), whose sum is σ = 23627131315200. Its totient is φ = 3124899025920.

The previous prime is 10001055650083. The next prime is 10001055650107. The reversal of 10001055650094 is 49005655010001.

10001055650094 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 0 + 5 + 565 + 0 + 0 + 94 = 666.

It is a super-2 number, since 2×100010556500942 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 605419167 + ... + 605435685.

It is an arithmetic number, because the mean of its divisors is an integer number (184586963400).

Almost surely, 210001055650094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001055650094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11813565657600).

10001055650094 is an abundant number, since it is smaller than the sum of its proper divisors (13626075665106).

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

10001055650094 is a wasteful number, since it uses less digits than its factorization.

10001055650094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19175 (or 19169 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 10001055650094 in words is "ten trillion, one billion, fifty-five million, six hundred fifty thousand, ninety-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 281 306 459 562 843 918 1686 2347 2529 4694 4777 5058 7041 7587 9554 14082 14331 15174 16519 21123 28662 33038 39899 42246 42993 49557 63369 79798 85986 99114 119697 126738 128979 148671 239394 257958 280823 297342 359091 446013 561646 659507 718182 842469 892026 1077273 1319014 1684938 1978521 2154546 2527407 3957042 4641839 5054814 5935563 7582221 9283678 11211619 11871126 13925517 15164442 17806689 22423238 27851034 33634857 35613378 38770093 41776551 67269714 77540186 78911263 83553102 100904571 116310279 125329653 157822526 201809142 232620558 236733789 250659306 302713713 348930837 473467578 605427426 659091581 697861674 710201367 1046792511 1318183162 1420402734 1977274743 2093585022 2130604101 3954549486 4261208202 5931824229 10894396133 11863648458 17795472687 21788792266 32683188399 35590945374 65366376798 98049565197 185204734261 196099130394 294148695591 370409468522 555614202783 588297391182 1111228405566 1666842608349 3333685216698 5000527825047 10001055650094