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424513363968 = 21335213253
BaseRepresentation
bin1100010110101101111…
…01111110000000000000
31111120202001210021200000
412023112331332000000
523423400410121333
6523004014400000
742445560025311
oct6132675760000
91446661707600
10424513363968
111540427aa591
126a334800000
13310540bb535
1416791a72608
15b0989e2713
hex62d6f7e000

424513363968 has 168 divisors, whose sum is σ = 1271721462648. Its totient is φ = 141503791104.

The previous prime is 424513363943. The next prime is 424513363991. The reversal of 424513363968 is 869363315424.

424513363968 is a `hidden beast` number, since 4 + 2 + 4 + 513 + 3 + 63 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1884030 + ... + 2097282.

It is an arithmetic number, because the mean of its divisors is an integer number (7569770611).

Almost surely, 2424513363968 is an apocalyptic number.

424513363968 is a gapful number since it is divisible by the number (48) 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 424513363968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635860731324).

424513363968 is an abundant number, since it is smaller than the sum of its proper divisors (847208098680).

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

424513363968 is an frugal number, since it uses more digits than its factorization.

424513363968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213294 (or 213258 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 424513363968 in words is "four hundred twenty-four billion, five hundred thirteen million, three hundred sixty-three thousand, nine hundred sixty-eight".