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42056465024 = 27753885623
BaseRepresentation
bin100111001010110000…
…101011101010000000
311000112222122210011202
4213022300223222000
51142112423340044
631153120000332
73016125024440
oct471260535200
9130488583152
1042056465024
1116921861712
1281987600a8
133c73139882
14206d764120
1511622eec4e
hex9cac2ba80

42056465024 has 64 divisors (see below), whose sum is σ = 97560339840. Its totient is φ = 17684100096.

The previous prime is 42056465023. The next prime is 42056465027.

42056465024 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (42056465023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 395324 + ... + 490299.

It is an arithmetic number, because the mean of its divisors is an integer number (1524380310).

Almost surely, 242056465024 is an apocalyptic number.

It is an amenable number.

42056465024 is an abundant number, since it is smaller than the sum of its proper divisors (55503874816).

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

42056465024 is an equidigital number, since it uses as much as digits as its factorization.

42056465024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885697 (or 885685 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 42056465024 in words is "forty-two billion, fifty-six million, four hundred sixty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 371 424 448 742 848 896 1484 1696 2968 3392 5936 6784 11872 23744 47488 885623 1771246 3542492 6199361 7084984 12398722 14169968 24797444 28339936 46938019 49594888 56679872 93876038 99189776 113359744 187752076 198379552 328566133 375504152 396759104 657132266 751008304 793518208 1314264532 1502016608 2628529064 3004033216 5257058128 6008066432 10514116256 21028232512 42056465024