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428546146131 = 32223523408271
BaseRepresentation
bin1100011110001110101…
…01110011111101010011
31111222011010011211210100
412033013111303331103
524010130303134011
6524512115103443
742650526065565
oct6170725637523
91458133154710
10428546146131
11155822144504
126b07b2a1b83
133154774a37c
1416a554bb335
15b232a90d56
hex63c7573f53

428546146131 has 24 divisors (see below), whose sum is σ = 622977345536. Its totient is φ = 283871764080.

The previous prime is 428546146117. The next prime is 428546146153. The reversal of 428546146131 is 131641645824.

428546146131 is a `hidden beast` number, since 4 + 2 + 8 + 546 + 14 + 61 + 31 = 666.

It is not a de Polignac number, because 428546146131 - 27 = 428546146003 is a prime.

It is a super-2 number, since 2×4285461461312 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (428546141131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 845526 + ... + 1253796.

Almost surely, 2428546146131 is an apocalyptic number.

428546146131 is a deficient number, since it is larger than the sum of its proper divisors (194431199405).

428546146131 is a wasteful number, since it uses less digits than its factorization.

428546146131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409023 (or 409020 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 428546146131 in words is "four hundred twenty-eight billion, five hundred forty-six million, one hundred forty-six thousand, one hundred thirty-one".

Divisors: 1 3 9 223 523 669 1569 2007 4707 116629 349887 408271 1049661 1224813 3674439 91044433 213525733 273133299 640577199 819399897 1921731597 47616238459 142848715377 428546146131