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12406757707680 = 2535723795713559
BaseRepresentation
bin1011010010001010110001…
…1000101100111110100000
31121221002000021110120222220
42310202230120230332200
53111233014433121210
642215330311231040
72420234010332130
oct264425430547640
947832007416886
1012406757707680
113a53749311a86
12148461a078480
136bcc4c08c80b
1430c6c146aac0
15167adcc22c70
hexb48ac62cfa0

12406757707680 has 768 divisors, whose sum is σ = 47292147302400. Its totient is φ = 2672755937280.

The previous prime is 12406757707651. The next prime is 12406757707723. The reversal of 12406757707680 is 8670775760421.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3486021741 + ... + 3486025299.

It is an arithmetic number, because the mean of its divisors is an integer number (61578316800).

Almost surely, 212406757707680 is an apocalyptic number.

12406757707680 is a gapful number since it is divisible by the number (10) 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 12406757707680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23646073651200).

12406757707680 is an abundant number, since it is smaller than the sum of its proper divisors (34885389594720).

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

12406757707680 is a wasteful number, since it uses less digits than its factorization.

12406757707680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4257 (or 4249 counting only the distinct ones).

The product of its (nonzero) digits is 27659520, while the sum is 60.

The spelling of 12406757707680 in words is "twelve trillion, four hundred six billion, seven hundred fifty-seven million, seven hundred seven thousand, six hundred eighty".