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2143424374560 = 2532573112754011
BaseRepresentation
bin11111001100001110000…
…011000110011100100000
321120220112221002222111200
4133030032003012130200
5240104213114441220
64320401531041200
7310600024400460
oct37141603063440
97526487088450
102143424374560
117570261a9247
122a74b05a0200
1312717c7047b1
1475a56bd1ba0
153ab4e66d890
hex1f30e0c6720

2143424374560 has 576 divisors, whose sum is σ = 8697117671424. Its totient is φ = 470379571200.

The previous prime is 2143424374523. The next prime is 2143424374573. The reversal of 2143424374560 is 654734243412.

2143424374560 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 42 + 43 + 7 + 4 + 560 = 666.

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 95 ways as a sum of consecutive naturals, for example, 39657955 + ... + 39711965.

It is an arithmetic number, because the mean of its divisors is an integer number (15099162624).

Almost surely, 22143424374560 is an apocalyptic number.

2143424374560 is a gapful number since it is divisible by the number (20) 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 2143424374560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348558835712).

2143424374560 is an abundant number, since it is smaller than the sum of its proper divisors (6553693296864).

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

2143424374560 is a wasteful number, since it uses less digits than its factorization.

2143424374560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54197 (or 54186 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 2143424374560 in words is "two trillion, one hundred forty-three billion, four hundred twenty-four million, three hundred seventy-four thousand, five hundred sixty".