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427710118416 = 2437191271314027
BaseRepresentation
bin1100011100101011000…
…00100111101000010000
31111212222212001020100220
412032111200213220100
524001422242242131
6524253132113040
742621025010160
oct6162540475020
91455885036326
10427710118416
11155433236509
126aa87305780
1331443491a09
14169b64545a0
15b1d449de96
hex6395827a10

427710118416 has 320 divisors, whose sum is σ = 1350252625920. Its totient is φ = 113954480640.

The previous prime is 427710118391. The next prime is 427710118421. The reversal of 427710118416 is 614811017724.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106208595 + ... + 106212621.

It is an arithmetic number, because the mean of its divisors is an integer number (4219539456).

Almost surely, 2427710118416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427710118416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675126312960).

427710118416 is an abundant number, since it is smaller than the sum of its proper divisors (922542507504).

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

427710118416 is a wasteful number, since it uses less digits than its factorization.

427710118416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4322 (or 4316 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The spelling of 427710118416 in words is "four hundred twenty-seven billion, seven hundred ten million, one hundred eighteen thousand, four hundred sixteen".