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12848133208040 = 2351324707948477
BaseRepresentation
bin1011101011110111000001…
…1010100111011111101000
31200111021021111100011020222
42322331300122213133220
53141000434100124130
643154203444105212
72464150501230104
oct272756032473750
950437244304228
1012848133208040
114103954278179
121536079995208
1372275c731640
14325bd2772904
15174321c58ce5
hexbaf706a77e8

12848133208040 has 32 divisors (see below), whose sum is σ = 31132015082280. Its totient is φ = 4743926107392.

The previous prime is 12848133208019. The next prime is 12848133208093. The reversal of 12848133208040 is 4080233184821.

It can be written as a sum of positive squares in 4 ways, for example, as 8793846255364 + 4054286952676 = 2965442^2 + 2013526^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12848133207982 and 12848133208000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12353973719 + ... + 12353974758.

Almost surely, 212848133208040 is an apocalyptic number.

12848133208040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12848133208040 is an abundant number, since it is smaller than the sum of its proper divisors (18283881874240).

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

12848133208040 is a wasteful number, since it uses less digits than its factorization.

12848133208040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24707948501 (or 24707948497 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The spelling of 12848133208040 in words is "twelve trillion, eight hundred forty-eight billion, one hundred thirty-three million, two hundred eight thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 24707948477 49415896954 98831793908 123539742385 197663587816 247079484770 321203330201 494158969540 642406660402 988317939080 1284813320804 1606016651005 2569626641608 3212033302010 6424066604020 12848133208040