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10156262041156 = 2271143941814939
BaseRepresentation
bin1001001111001011000001…
…1001000010011001000100
31022221221002100211102021011
42103302300121002121010
52312400011040304111
633333420010532004
72065523432646310
oct223626031023104
938857070742234
1010156262041156
1132662791703a0
121180427737004
13588967b70a7a
142717cc420b40
151292c366c021
hex93cb0642644

10156262041156 has 96 divisors (see below), whose sum is σ = 22698569456640. Its totient is φ = 3860850268800.

The previous prime is 10156262041117. The next prime is 10156262041171. The reversal of 10156262041156 is 65114026265101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12055135 + ... + 12870073.

It is an arithmetic number, because the mean of its divisors is an integer number (236443431840).

Almost surely, 210156262041156 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 10156262041156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11349284728320).

10156262041156 is an abundant number, since it is smaller than the sum of its proper divisors (12542307415484).

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

10156262041156 is a wasteful number, since it uses less digits than its factorization.

10156262041156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815945 (or 815943 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 10156262041156 in words is "ten trillion, one hundred fifty-six billion, two hundred sixty-two million, forty-one thousand, one hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 28 43 44 77 86 154 172 301 308 473 602 941 946 1204 1882 1892 3311 3764 6587 6622 10351 13174 13244 20702 26348 40463 41404 72457 80926 144914 161852 283241 289828 445093 566482 814939 890186 1132964 1629878 1780372 3115651 3259756 5704573 6231302 8964329 11409146 12462604 17928658 22818292 35042377 35857316 62750303 70084754 125500606 140169508 245296639 251001212 385466147 490593278 766857599 770932294 981186556 1533715198 1541864588 2698263029 3067430396 5368003193 5396526058 8435433589 10736006386 10793052116 16870867178 21472012772 32974876757 33741734356 59048035123 65949753514 118096070246 131899507028 230824137299 236192140492 362723644327 461648274598 725447288654 923296549196 1450894577308 2539065510289 5078131020578 10156262041156