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12000093000080 = 245374054085473
BaseRepresentation
bin1010111010011111110101…
…0001111101000110010000
31120111012100010001222220212
42232213331101331012100
53033102142302000310
641304433331223252
72345656330341533
oct256477521750620
946435303058825
1012000093000080
113907235725179
121419846a47b28
136907b0a52213
142d6b440aaa1a
1515c23b191205
hexae9fd47d190

12000093000080 has 40 divisors (see below), whose sum is σ = 28654276130232. Its totient is φ = 4670306463744.

The previous prime is 12000093000059. The next prime is 12000093000083. The reversal of 12000093000080 is 8000039000021.

It can be written as a sum of positive squares in 4 ways, for example, as 5288822465536 + 6711270534544 = 2299744^2 + 2590612^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (12000093000083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2027039777 + ... + 2027045696.

Almost surely, 212000093000080 is an apocalyptic number.

12000093000080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000093000080 is an abundant number, since it is smaller than the sum of its proper divisors (16654183130152).

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

12000093000080 is a wasteful number, since it uses less digits than its factorization.

12000093000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4054085523 (or 4054085517 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 12000093000080 in words is "twelve trillion, ninety-three million, eighty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 4054085473 8108170946 16216341892 20270427365 32432683784 40540854730 64865367568 81081709460 150001162501 162163418920 300002325002 324326837840 600004650004 750005812505 1200009300008 1500011625010 2400018600016 3000023250020 6000046500040 12000093000080