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421687969560 = 233251113171513191
BaseRepresentation
bin1100010001011101000…
…11111100011100011000
31111022110011022101011200
412020232203330130120
523402104110011220
6521415404354200
742315551412654
oct6105643743430
91438404271150
10421687969560
11152922957990
1269886545960
13309c393c720
14165a471ba64
15ae8093d890
hex622e8fc718

421687969560 has 768 divisors, whose sum is σ = 1716619806720. Its totient is φ = 88197120000.

The previous prime is 421687969553. The next prime is 421687969561. The reversal of 421687969560 is 65969786124.

421687969560 is a `hidden beast` number, since 4 + 2 + 1 + 6 + 8 + 7 + 9 + 69 + 560 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421687969561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 132147565 + ... + 132150755.

It is an arithmetic number, because the mean of its divisors is an integer number (2235182040).

Almost surely, 2421687969560 is an apocalyptic number.

421687969560 is a gapful number since it is divisible by the number (40) 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 421687969560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858309903360).

421687969560 is an abundant number, since it is smaller than the sum of its proper divisors (1294931837160).

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

421687969560 is a wasteful number, since it uses less digits than its factorization.

421687969560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 421687969560 in words is "four hundred twenty-one billion, six hundred eighty-seven million, nine hundred sixty-nine thousand, five hundred sixty".