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424052858880 = 213345719312
BaseRepresentation
bin1100010101110111000…
…01010010000000000000
31111112112222021012110000
412022323201102000000
523421430012441010
6522450204240000
742431265554010
oct6127341220000
91445488235400
10424052858880
11153926869272
126a226540000
1330cac884111
141674a83bc40
15b06d37b7c0
hex62bb852000

424052858880 has 1680 divisors, whose sum is σ = 1889727935040. Its totient is φ = 88862883840.

The previous prime is 424052858863. The next prime is 424052858941. The reversal of 424052858880 is 88858250424.

424052858880 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 52 + 8 + 588 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 119 ways as a sum of consecutive naturals, for example, 13679124465 + ... + 13679124495.

Almost surely, 2424052858880 is an apocalyptic number.

424052858880 is a gapful number since it is divisible by the number (40) 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 424052858880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944863967520).

424052858880 is an abundant number, since it is smaller than the sum of its proper divisors (1465675076160).

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

424052858880 is an equidigital number, since it uses as much as digits as its factorization.

424052858880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 6553600, while the sum is 54.

The spelling of 424052858880 in words is "four hundred twenty-four billion, fifty-two million, eight hundred fifty-eight thousand, eight hundred eighty".