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425942219520 = 2838567757
BaseRepresentation
bin1100011001011000010…
…00100111101100000000
31111201102122102200000000
412030230020213230000
523434312202011040
6523401500000000
742526150062036
oct6145410475400
91451378380000
10425942219520
11154706307944
126a673230000
13312211310ac
1416889736556
15b12e187130
hex632c227b00

425942219520 has 648 divisors, whose sum is σ = 1555211649264. Its totient is φ = 111741493248.

The previous prime is 425942219497. The next prime is 425942219531. The reversal of 425942219520 is 25912249524.

425942219520 is a `hidden beast` number, since 4 + 2 + 5 + 94 + 22 + 19 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 562670982 + ... + 562671738.

Almost surely, 2425942219520 is an apocalyptic number.

425942219520 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 425942219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777605824632).

425942219520 is an abundant number, since it is smaller than the sum of its proper divisors (1129269429744).

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

425942219520 is an frugal number, since it uses more digits than its factorization.

425942219520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 425942219520 in words is "four hundred twenty-five billion, nine hundred forty-two million, two hundred nineteen thousand, five hundred twenty".