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42722822724 = 22389367310891
BaseRepresentation
bin100111110010011110…
…101000101001000100
311002021102112021002120
4213302132220221010
51144444020311344
631343202205540
73041466000321
oct476236505104
9132242467076
1042722822724
1117133a1305a
1283439538b0
13404b1ca17a
1420d4061b48
1511a0a79219
hex9f27a8a44

42722822724 has 48 divisors (see below), whose sum is σ = 100843364160. Its totient is φ = 14075804160.

The previous prime is 42722822717. The next prime is 42722822729.

42722822724 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (42722822729) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3917319 + ... + 3928209.

It is an arithmetic number, because the mean of its divisors is an integer number (2100903420).

Almost surely, 242722822724 is an apocalyptic number.

It is an amenable number.

42722822724 is an abundant number, since it is smaller than the sum of its proper divisors (58120541436).

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

42722822724 is a wasteful number, since it uses less digits than its factorization.

42722822724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14660 (or 14658 counting only the distinct ones).

The product of its digits is 401408, while the sum is 42.

The spelling of 42722822724 in words is "forty-two billion, seven hundred twenty-two million, eight hundred twenty-two thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 12 89 178 267 356 534 1068 3673 7346 10891 11019 14692 21782 22038 32673 43564 44076 65346 130692 326897 653794 969299 980691 1307588 1938598 1961382 2907897 3877196 3922764 5815794 11631588 40002643 80005286 120007929 160010572 240015858 480031716 3560235227 7120470454 10680705681 14240940908 21361411362 42722822724