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424545922560 = 29351931127739
BaseRepresentation
bin1100010110110001110…
…10001010111000000000
31111120211100001102122210
412023120322022320000
523423432224010220
6523011140302120
742446433541314
oct6133072127000
91446740042583
10424545922560
1115405a118311
126a3436a1940
133105aa7ac86
1416796109b44
15b09b7c46e0
hex62d8e8ae00

424545922560 has 640 divisors, whose sum is σ = 1488361881600. Its totient is φ = 102837288960.

The previous prime is 424545922553. The next prime is 424545922561. The reversal of 424545922560 is 65229545424.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424545922561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 574486671 + ... + 574487409.

It is an arithmetic number, because the mean of its divisors is an integer number (2325565440).

Almost surely, 2424545922560 is an apocalyptic number.

424545922560 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 424545922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744180940800).

424545922560 is an abundant number, since it is smaller than the sum of its proper divisors (1063815959040).

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

424545922560 is a wasteful number, since it uses less digits than its factorization.

424545922560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 424545922560 in words is "four hundred twenty-four billion, five hundred forty-five million, nine hundred twenty-two thousand, five hundred sixty".