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424050050424 = 2337111321996823
BaseRepresentation
bin1100010101110110101…
…10100100010101111000
31111112112202222111222010
412022323112210111320
523421423303103144
6522450024125520
742431232646050
oct6127326442570
91445482874863
10424050050424
11153925220230
126a2256068a0
1330cac10ca00
141674a30a560
15b06cec45b9
hex62bb5a4578

424050050424 has 384 divisors, whose sum is σ = 1438608384000. Its totient is φ = 101144609280.

The previous prime is 424050050383. The next prime is 424050050441.

424050050424 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 424050050391 and 424050050400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62146677 + ... + 62153499.

It is an arithmetic number, because the mean of its divisors is an integer number (3746376000).

Almost surely, 2424050050424 is an apocalyptic number.

424050050424 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 424050050424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719304192000).

424050050424 is an abundant number, since it is smaller than the sum of its proper divisors (1014558333576).

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

424050050424 is a wasteful number, since it uses less digits than its factorization.

424050050424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7075 (or 7058 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

It can be divided in two parts, 4240500 and 50424, that added together give a palindrome (4290924).

The spelling of 424050050424 in words is "four hundred twenty-four billion, fifty million, fifty thousand, four hundred twenty-four".