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42461079100 = 22521138600981
BaseRepresentation
bin100111100010111000…
…001010011000111100
311001121012000022100021
4213202320022120330
51143430014012400
631301212141524
73032140134346
oct474270123074
9131535008307
1042461079100
111700a199210
1282901678a4
134008c0539b
1420ab3aa296
151187ac571a
hex9e2e0a63c

42461079100 has 36 divisors (see below), whose sum is σ = 100516957128. Its totient is φ = 15440392000.

The previous prime is 42461079097. The next prime is 42461079107. The reversal of 42461079100 is 197016424.

It is a super-3 number, since 3×424610791003 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42461079107) 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 11 ways as a sum of consecutive naturals, for example, 19299391 + ... + 19301590.

It is an arithmetic number, because the mean of its divisors is an integer number (2792137698).

Almost surely, 242461079100 is an apocalyptic number.

It is an amenable number.

42461079100 is an abundant number, since it is smaller than the sum of its proper divisors (58055878028).

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

42461079100 is a wasteful number, since it uses less digits than its factorization.

42461079100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38601006 (or 38600999 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 42461079100 in words is "forty-two billion, four hundred sixty-one million, seventy-nine thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 38600981 77201962 154403924 193004905 386009810 424610791 772019620 849221582 965024525 1698443164 1930049050 2123053955 3860098100 4246107910 8492215820 10615269775 21230539550 42461079100