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423961360032 = 25373753321721
BaseRepresentation
bin1100010101101100001…
…00001111011010100000
31111112022121002120121210
412022312010033122200
523421233102010112
6522433135150120
742426105046350
oct6126604173240
91445277076553
10423961360032
1115388a153891
126a1bb975340
1330c96928ba2
141673c620b60
15b065305b3c
hex62b610f6a0

423961360032 has 192 divisors, whose sum is σ = 1330909864704. Its totient is φ = 115633889280.

The previous prime is 423961360021. The next prime is 423961360033. The reversal of 423961360032 is 230063169324.

It is not an unprimeable number, because it can be changed into a prime (423961360033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1156932 + ... + 1478652.

It is an arithmetic number, because the mean of its divisors is an integer number (6931822212).

Almost surely, 2423961360032 is an apocalyptic number.

423961360032 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 423961360032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665454932352).

423961360032 is an abundant number, since it is smaller than the sum of its proper divisors (906948504672).

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

423961360032 is a wasteful number, since it uses less digits than its factorization.

423961360032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321831 (or 321823 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 39.

The spelling of 423961360032 in words is "four hundred twenty-three billion, nine hundred sixty-one million, three hundred sixty thousand, thirty-two".