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423059438592 = 21037726987
BaseRepresentation
bin1100010100000000100…
…11101011110000000000
31111102222201222020000000
412022000103223300000
523412411204013332
6522203440000000
742364543615650
oct6120023536000
91442881866000
10423059438592
1115346702996a
1269ba9900000
1330b81b0ba6b
1416694924360
15b011049b7c
hex62804ebc00

423059438592 has 352 divisors, whose sum is σ = 1449614000640. Its totient is φ = 120869646336.

The previous prime is 423059438533. The next prime is 423059438609. The reversal of 423059438592 is 295834950324.

423059438592 is a `hidden beast` number, since 4 + 2 + 3 + 0 + 5 + 9 + 43 + 8 + 592 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15662923 + ... + 15689909.

Almost surely, 2423059438592 is an apocalyptic number.

423059438592 is a gapful number since it is divisible by the number (42) 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 423059438592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724807000320).

423059438592 is an abundant number, since it is smaller than the sum of its proper divisors (1026554562048).

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

423059438592 is an frugal number, since it uses more digits than its factorization.

423059438592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27035 (or 26999 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 423059438592 in words is "four hundred twenty-three billion, fifty-nine million, four hundred thirty-eight thousand, five hundred ninety-two".