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428645807424 = 26324331718653
BaseRepresentation
bin1100011110011010100…
…01111111010101000000
31111222102001201011101100
412033031101333111000
524010331311314144
6524530035134400
742653146150362
oct6171521772500
91458361634340
10428645807424
1115587342450a
126b0a8744400
13315622a2953
1416a64820d32
15b23b6ca269
hex63cd47f540

428645807424 has 84 divisors (see below), whose sum is σ = 1231474025236. Its totient is φ = 142551871488.

The previous prime is 428645807371. The next prime is 428645807519. The reversal of 428645807424 is 424708546824.

It is a happy number.

428645807424 is a `hidden beast` number, since 42 + 86 + 458 + 0 + 74 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 253895054400 + 174750753024 = 503880^2 + 418032^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 609919 + ... + 1108734.

Almost surely, 2428645807424 is an apocalyptic number.

It is an amenable number.

428645807424 is an abundant number, since it is smaller than the sum of its proper divisors (802828217812).

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

428645807424 is a wasteful number, since it uses less digits than its factorization.

428645807424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719104 (or 1719091 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 428645807424 in words is "four hundred twenty-eight billion, six hundred forty-five million, eight hundred seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 433 576 866 1299 1732 2598 3464 3897 5196 6928 7794 10392 13856 15588 20784 27712 31176 41568 62352 83136 124704 249408 1718653 3437306 5155959 6874612 10311918 13749224 15467877 20623836 27498448 30935754 41247672 54996896 61871508 82495344 109993792 123743016 164990688 247486032 329981376 494972064 744176749 989944128 1488353498 2232530247 2976706996 4465060494 5953413992 6697590741 8930120988 11906827984 13395181482 17860241976 23813655968 26790362964 35720483952 47627311936 53580725928 71440967904 107161451856 142881935808 214322903712 428645807424