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427094920252 = 2271113317148463
BaseRepresentation
bin1100011011100001101…
…01110100110000111100
31111211101222102221010201
412031300311310300330
523444142244422002
6524112114213244
742566544631420
oct6156065646074
91454358387121
10427094920252
11155147a47a80
126a935284224
1331375ba4530
1416958872b80
15b19a47d087
hex6370d74c3c

427094920252 has 192 divisors, whose sum is σ = 1050507214848. Its totient is φ = 146549088000.

The previous prime is 427094920163. The next prime is 427094920279. The reversal of 427094920252 is 252029490724.

It is a congruent number.

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, 8788573 + ... + 8837035.

It is an arithmetic number, because the mean of its divisors is an integer number (5471391744).

Almost surely, 2427094920252 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 427094920252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525253607424).

427094920252 is an abundant number, since it is smaller than the sum of its proper divisors (623412294596).

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

427094920252 is a wasteful number, since it uses less digits than its factorization.

427094920252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48600 (or 48598 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 427094920252 in words is "four hundred twenty-seven billion, ninety-four million, nine hundred twenty thousand, two hundred fifty-two".