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42217165824 = 210319723293
BaseRepresentation
bin100111010100010101…
…101101010000000000
311000222012001020020020
4213110111231100000
51142430043301244
631221100213440
73023115663051
oct472425552000
9130865036206
1042217165824
11169a4542599
12822253a280
133c9a5142c2
142086c36728
151171494d19
hex9d456d400

42217165824 has 88 divisors (see below), whose sum is σ = 118446625440. Its totient is φ = 13331718144.

The previous prime is 42217165813. The next prime is 42217165897. The reversal of 42217165824 is 42856171224.

It is a super-2 number, since 2×422171658242 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303279 + ... + 420014.

It is an arithmetic number, because the mean of its divisors is an integer number (1345984380).

Almost surely, 242217165824 is an apocalyptic number.

It is an amenable number.

42217165824 is an abundant number, since it is smaller than the sum of its proper divisors (76229459616).

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

42217165824 is a wasteful number, since it uses less digits than its factorization.

42217165824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723335 (or 723317 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The spelling of 42217165824 in words is "forty-two billion, two hundred seventeen million, one hundred sixty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2432 3072 3648 4864 7296 9728 14592 19456 29184 58368 723293 1446586 2169879 2893172 4339758 5786344 8679516 11572688 13742567 17359032 23145376 27485134 34718064 41227701 46290752 54970268 69436128 82455402 92581504 109940536 138872256 164910804 185163008 219881072 277744512 329821608 370326016 439762144 555489024 659643216 740652032 879524288 1110978048 1319286432 1759048576 2221956096 2638572864 3518097152 5277145728 7036194304 10554291456 14072388608 21108582912 42217165824