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42705156608 = 29397210097
BaseRepresentation
bin100111110001011011…
…001111101000000000
311002020012021201201222
4213301123033220000
51144430010002413
631341331414212
73041162561522
oct476133175000
9132205251658
1042705156608
1117124a47264
128339a54368
13404765314a
1420d1983a12
15119e239b08
hex9f16cfa00

42705156608 has 40 divisors (see below), whose sum is σ = 85542241092. Its totient is φ = 21298692096.

The previous prime is 42705156583. The next prime is 42705156617. The reversal of 42705156608 is 80665150724.

It can be written as a sum of positive squares in 2 ways, for example, as 41962703104 + 742453504 = 204848^2 + 27248^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98216 + ... + 308312.

Almost surely, 242705156608 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 42705156608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42771120546).

42705156608 is an abundant number, since it is smaller than the sum of its proper divisors (42837084484).

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

42705156608 is an equidigital number, since it uses as much as digits as its factorization.

42705156608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210512 (or 210496 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 42705156608 in words is "forty-two billion, seven hundred five million, one hundred fifty-six thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 64 128 256 397 512 794 1588 3176 6352 12704 25408 50816 101632 203264 210097 420194 840388 1680776 3361552 6723104 13446208 26892416 53784832 83408509 107569664 166817018 333634036 667268072 1334536144 2669072288 5338144576 10676289152 21352578304 42705156608