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12430213447680 = 216355729769
BaseRepresentation
bin1011010011100010001001…
…1101010000000000000000
31122000022112221120122100000
42310320202131100000000
53112124034120311210
642234210005200000
72422024163665560
oct264704235200000
948008487518300
1012430213447680
113a62695488676
121489085400000
136c22196a8202
1430d8a86acda0
15168512056ac0
hexb4e22750000

12430213447680 has 1632 divisors, whose sum is σ = 52900675027200. Its totient is φ = 2739652263936.

The previous prime is 12430213447669. The next prime is 12430213447697. The reversal of 12430213447680 is 8674431203421.

12430213447680 is a `hidden beast` number, since 1 + 2 + 43 + 0 + 2 + 134 + 476 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16164126336 + ... + 16164127104.

Almost surely, 212430213447680 is an apocalyptic number.

12430213447680 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 12430213447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26450337513600).

12430213447680 is an abundant number, since it is smaller than the sum of its proper divisors (40470461579520).

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

12430213447680 is an frugal number, since it uses more digits than its factorization.

12430213447680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 12430213447680 in words is "twelve trillion, four hundred thirty billion, two hundred thirteen million, four hundred forty-seven thousand, six hundred eighty".