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423432513504 = 2532711131786399
BaseRepresentation
bin1100010100101101000…
…10110110011111100000
31111110221201222101120100
412022112202312133200
523414142210413004
6522304444142400
742410023656630
oct6122642663740
91443851871510
10423432513504
11153638684640
126a092837a00
1330c111b3b50
14166cc2ba6c0
15b033b90739
hex62968b67e0

423432513504 has 576 divisors, whose sum is σ = 1711864627200. Its totient is φ = 95549276160.

The previous prime is 423432513479. The next prime is 423432513547. The reversal of 423432513504 is 405315234324.

423432513504 is a `hidden beast` number, since 42 + 34 + 32 + 51 + 3 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4857697 + ... + 4944095.

It is an arithmetic number, because the mean of its divisors is an integer number (2971987200).

Almost surely, 2423432513504 is an apocalyptic number.

423432513504 is a gapful number since it is divisible by the number (44) 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 423432513504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855932313600).

423432513504 is an abundant number, since it is smaller than the sum of its proper divisors (1288432113696).

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

423432513504 is a wasteful number, since it uses less digits than its factorization.

423432513504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86463 (or 86452 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 423432513504 its reverse (405315234324), we get a palindrome (828747747828).

The spelling of 423432513504 in words is "four hundred twenty-three billion, four hundred thirty-two million, five hundred thirteen thousand, five hundred four".