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427742518064 = 241731166730431
BaseRepresentation
bin1100011100101110111…
…00001101101100110000
31111220002010000022022212
412032113130031230300
524002004041034224
6524300250351252
742621600261611
oct6162734155460
91456063008285
10427742518064
1115544a555884
126aa9612b528
133144a0c6cc4
14169ba889c08
15b1d724dd0e
hex639770db30

427742518064 has 80 divisors (see below), whose sum is σ = 906380845056. Its totient is φ = 194674099200.

The previous prime is 427742518039. The next prime is 427742518069. The reversal of 427742518064 is 460815247724.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (427742518069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14040929 + ... + 14071359.

Almost surely, 2427742518064 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 427742518064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453190422528).

427742518064 is an abundant number, since it is smaller than the sum of its proper divisors (478638326992).

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

427742518064 is a wasteful number, since it uses less digits than its factorization.

427742518064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32154 (or 32148 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 50.

The spelling of 427742518064 in words is "four hundred twenty-seven billion, seven hundred forty-two million, five hundred eighteen thousand, sixty-four".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 527 1054 1667 2108 3334 4216 6668 8432 13336 26672 28339 30431 51677 56678 60862 103354 113356 121724 206708 226712 243448 413416 453424 486896 517327 826832 878509 943361 1034654 1757018 1886722 2069308 3514036 3773444 4138616 7028072 7546888 8277232 14056144 15093776 16037137 32074274 50728477 64148548 101456954 128297096 202913908 256594192 405827816 811655632 862384109 1572582787 1724768218 3145165574 3449536436 6290331148 6899072872 12580662296 13798145744 25161324592 26733907379 53467814758 106935629516 213871259032 427742518064