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424470896640 = 21334573373
BaseRepresentation
bin1100010110101000110…
…11111110000000000000
31111120122002212201110000
412023110123332000000
523423304022143030
6522555500240000
742444533043000
oct6132433760000
91446562781400
10424470896640
1115402083421a
126a322540000
133104836c93b
141678a17a000
15b094e04860
hex62d46fe000

424470896640 has 1120 divisors, whose sum is σ = 1779351076800. Its totient is φ = 96761806848.

The previous prime is 424470896609. The next prime is 424470896657. The reversal of 424470896640 is 46698074424.

424470896640 is a `hidden beast` number, since 4 + 24 + 470 + 8 + 96 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1137991494 + ... + 1137991866.

Almost surely, 2424470896640 is an apocalyptic number.

424470896640 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 424470896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889675538400).

424470896640 is an abundant number, since it is smaller than the sum of its proper divisors (1354880180160).

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

424470896640 is an frugal number, since it uses more digits than its factorization.

424470896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 424470896640 in words is "four hundred twenty-four billion, four hundred seventy million, eight hundred ninety-six thousand, six hundred forty".