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424369020192 = 253133123311069
BaseRepresentation
bin1100010110011100101…
…11010101110100100000
31111120101000011212020020
412023032113111310200
523423101432121232
6522541420513440
742442155104055
oct6131627256440
91446330155206
10424369020192
11153a79280a07
126a2b43ab880
1331030220010
141677a81b02c
15b08aecde2c
hex62ce5d5d20

424369020192 has 288 divisors, whose sum is σ = 1244513712960. Its totient is φ = 125863372800.

The previous prime is 424369020157. The next prime is 424369020209. The reversal of 424369020192 is 291020963424.

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 47 ways as a sum of consecutive naturals, for example, 396977034 + ... + 396978102.

It is an arithmetic number, because the mean of its divisors is an integer number (4321228170).

Almost surely, 2424369020192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424369020192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622256856480).

424369020192 is an abundant number, since it is smaller than the sum of its proper divisors (820144692768).

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

424369020192 is a wasteful number, since it uses less digits than its factorization.

424369020192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 424369020192 in words is "four hundred twenty-four billion, three hundred sixty-nine million, twenty thousand, one hundred ninety-two".