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12885342987096 = 2333476120807243
BaseRepresentation
bin1011101110000001101001…
…0010101010001101011000
31200121211022201002210012000
42323200122102222031120
53142103140301041341
643223240030521000
72466635545152006
oct273403222521530
950554281083160
1012885342987096
114118709217998
121541323366160
1372610c6cba98
14327922543a76
1517529d7d88b6
hexbb81a4aa358

12885342987096 has 128 divisors (see below), whose sum is σ = 37153414886400. Its totient is φ = 4134815130240.

The previous prime is 12885342987079. The next prime is 12885342987103. The reversal of 12885342987096 is 69078924358821.

12885342987096 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 534 + 2 + 9 + 87 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9784350 + ... + 11022893.

It is an arithmetic number, because the mean of its divisors is an integer number (290261053800).

It is a 1-persistent number, because it is pandigital, but 2⋅12885342987096 = 25770685974192 is not.

Almost surely, 212885342987096 is an apocalyptic number.

It is an amenable number.

12885342987096 is an abundant number, since it is smaller than the sum of its proper divisors (24268071899304).

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

12885342987096 is a wasteful number, since it uses less digits than its factorization.

12885342987096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20807366 (or 20807356 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 12885342987096 in words is "twelve trillion, eight hundred eighty-five billion, three hundred forty-two million, nine hundred eighty-seven thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 61 72 94 108 122 141 183 188 216 244 282 366 376 423 488 549 564 732 846 1098 1128 1269 1464 1647 1692 2196 2538 2867 3294 3384 4392 5076 5734 6588 8601 10152 11468 13176 17202 22936 25803 34404 51606 68808 77409 103212 154818 206424 309636 619272 20807243 41614486 62421729 83228972 124843458 166457944 187265187 249686916 374530374 499373832 561795561 749060748 977940421 1123591122 1269241823 1498121496 1955880842 2247182244 2538483646 2933821263 3807725469 3911761684 4494364488 5076967292 5867642526 7615450938 7823523368 8801463789 10153934584 11423176407 11735285052 15230901876 17602927578 22846352814 23470570104 26404391367 30461803752 34269529221 35205855156 45692705628 52808782734 59654365681 68539058442 70411710312 91385411256 105617565468 119308731362 137078116884 178963097043 211235130936 238617462724 274156233768 357926194086 477234925448 536889291129 715852388172 1073778582258 1431704776344 1610667873387 2147557164516 3221335746774 4295114329032 6442671493548 12885342987096