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12374696263680 = 221335109401
BaseRepresentation
bin1011010000010011010101…
…1000000000000000000000
31121211000020212012111002000
42310010311120000000000
53110221334220414210
642152505035224000
72415020336501352
oct264046530000000
947730225174060
1012374696263680
113a41096484623
12147a3708a8000
136b9c0c8b908a
1430ad1d3310d2
15166d6314aac0
hexb4135600000

12374696263680 has 704 divisors, whose sum is σ = 44513298878400. Its totient is φ = 3261490790400.

The previous prime is 12374696263651. The next prime is 12374696263697. The reversal of 12374696263680 is 8636269647321.

12374696263680 is a `hidden beast` number, since 1 + 2 + 3 + 7 + 469 + 62 + 6 + 36 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30859591480 + ... + 30859591880.

It is an arithmetic number, because the mean of its divisors is an integer number (63229117725).

Almost surely, 212374696263680 is an apocalyptic number.

12374696263680 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 12374696263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22256649439200).

12374696263680 is an abundant number, since it is smaller than the sum of its proper divisors (32138602614720).

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

12374696263680 is an frugal number, since it uses more digits than its factorization.

12374696263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 12374696263680 in words is "twelve trillion, three hundred seventy-four billion, six hundred ninety-six million, two hundred sixty-three thousand, six hundred eighty".