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10667724020 = 2252579206819
BaseRepresentation
bin10011110111101100…
…01000110011110100
31000112110012112021122
421323312020303310
5133321414132040
64522314203112
7525233105132
oct117366106364
930473175248
1010667724020
114584719a48
122098723498
131010138945
14732ad8752
154268071b5
hex27bd88cf4

10667724020 has 24 divisors (see below), whose sum is σ = 22411015200. Its totient is φ = 4265414432.

The previous prime is 10667724019. The next prime is 10667724127. The reversal of 10667724020 is 2042776601.

It is a super-3 number, since 3×106677240203 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51830 + ... + 154989.

It is an arithmetic number, because the mean of its divisors is an integer number (933792300).

Almost surely, 210667724020 is an apocalyptic number.

10667724020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10667724020 is an abundant number, since it is smaller than the sum of its proper divisors (11743291180).

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

10667724020 is a wasteful number, since it uses less digits than its factorization.

10667724020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209407 (or 209405 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The spelling of 10667724020 in words is "ten billion, six hundred sixty-seven million, seven hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 2579 5158 10316 12895 25790 51580 206819 413638 827276 1034095 2068190 4136380 533386201 1066772402 2133544804 2666931005 5333862010 10667724020