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29016266640 = 2435990112211
BaseRepresentation
bin11011000001100000…
…010001011110010000
32202220012020001220020
4123001200101132100
5433411131013030
621155131143440
72045023124364
oct330140213620
982805201806
1029016266640
111133aa20659
1257595a4b80
132975631c5a
1415939332a4
15b4c5ac510
hex6c1811790

29016266640 has 80 divisors (see below), whose sum is σ = 89966878656. Its totient is φ = 7736256000.

The previous prime is 29016266633. The next prime is 29016266663. The reversal of 29016266640 is 4666261092.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 29016266592 and 29016266601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2370135 + ... + 2382345.

Almost surely, 229016266640 is an apocalyptic number.

29016266640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29016266640 is an abundant number, since it is smaller than the sum of its proper divisors (60950612016).

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

29016266640 is a wasteful number, since it uses less digits than its factorization.

29016266640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22128 (or 22122 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 29016266640 in words is "twenty-nine billion, sixteen million, two hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 9901 12211 19802 24422 29703 36633 39604 48844 49505 59406 61055 73266 79208 97688 99010 118812 122110 146532 148515 158416 183165 195376 198020 237624 244220 293064 297030 366330 396040 475248 488440 586128 594060 732660 792080 976880 1188120 1465320 2376240 2930640 120901111 241802222 362703333 483604444 604505555 725406666 967208888 1209011110 1450813332 1813516665 1934417776 2418022220 2901626664 3627033330 4836044440 5803253328 7254066660 9672088880 14508133320 29016266640