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4006766010 = 2351310273759
BaseRepresentation
bin1110111011010010…
…0110010110111010
3101100020102210200010
43232310212112322
531201213003020
61501330522350
7201201643362
oct35664462672
911306383603
104006766010
111776795675
12939a363b6
134bb150280
142a01d59a2
15186b5ede0
hexeed265ba

4006766010 has 32 divisors (see below), whose sum is σ = 10355950080. Its totient is φ = 986280768.

The previous prime is 4006765993. The next prime is 4006766011. The reversal of 4006766010 is 106676004.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4006766011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5136490 + ... + 5137269.

It is an arithmetic number, because the mean of its divisors is an integer number (323623440).

Almost surely, 24006766010 is an apocalyptic number.

4006766010 is an abundant number, since it is smaller than the sum of its proper divisors (6349184070).

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

4006766010 is a wasteful number, since it uses less digits than its factorization.

4006766010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10273782.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 4006766010 is about 63299.0206085371. The cubic root of 4006766010 is about 1588.2955787422.

The spelling of 4006766010 in words is "four billion, six million, seven hundred sixty-six thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 10273759 20547518 30821277 51368795 61642554 102737590 133558867 154106385 267117734 308212770 400676601 667794335 801353202 1335588670 2003383005 4006766010