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11156604315012 = 22321322251814643
BaseRepresentation
bin1010001001011001100101…
…1011111110010110000100
31110111120010221022011012200
42202112121123332112010
52430242211201040022
635421135005314500
72231016024663312
oct242263133762604
943446127264180
1011156604315012
113611542313742
121302284265a30
1362c0a9018c00
142a7da80c30b2
1514531ee92bac
hexa25996fe584

11156604315012 has 108 divisors (see below), whose sum is σ = 30551232230064. Its totient is φ = 3431272104000.

The previous prime is 11156604314957. The next prime is 11156604315167. The reversal of 11156604315012 is 21051340665111.

11156604315012 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 6 + 604 + 31 + 5 + 0 + 12 = 666.

11156604315012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13287763 + ... + 14102405.

It is an arithmetic number, because the mean of its divisors is an integer number (282881779908).

Almost surely, 211156604315012 is an apocalyptic number.

11156604315012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11156604315012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15275616115032).

11156604315012 is an abundant number, since it is smaller than the sum of its proper divisors (19394627915052).

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

11156604315012 is a wasteful number, since it uses less digits than its factorization.

11156604315012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816930 (or 816912 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 11156604315012 in words is "eleven trillion, one hundred fifty-six billion, six hundred four million, three hundred fifteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 2251 3042 4502 6084 6753 9004 13506 20259 27012 29263 40518 58526 81036 87789 117052 175578 263367 351156 380419 526734 760838 814643 1053468 1141257 1521676 1629286 2282514 2443929 3258572 3423771 4565028 4887858 6847542 7331787 9775716 10590359 13695084 14663574 21180718 29327148 31771077 42361436 63542154 95313231 127084308 137674667 190626462 275349334 381252924 413024001 550698668 826048002 1239072003 1652096004 1833761393 2478144006 3667522786 4956288012 5501284179 7335045572 11002568358 16503852537 22005136716 23838898109 33007705074 47677796218 66015410148 71516694327 95355592436 143033388654 214550082981 286066777308 309905675417 429100165962 619811350834 858200331924 929717026251 1239622701668 1859434052502 2789151078753 3718868105004 5578302157506 11156604315012