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29271770960 = 2451721523361
BaseRepresentation
bin11011010000101110…
…111100011101010000
32210120000000000221012
4123100232330131100
5434422033132320
621240335350052
72054244643055
oct332056743520
983500000835
1029271770960
1111461173853
12580b082328
1329b6550b43
1415b984302c
15b64c2c4c5
hex6d0bbc750

29271770960 has 40 divisors (see below), whose sum is σ = 72060215976. Its totient is φ = 11019960320.

The previous prime is 29271770921. The next prime is 29271770999. The reversal of 29271770960 is 6907717292.

It is an interprime number because it is at equal distance from previous prime (29271770921) and next prime (29271770999).

It can be written as a sum of positive squares in 4 ways, for example, as 172869904 + 29098901056 = 13148^2 + 170584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 29271770899 and 29271770908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10760321 + ... + 10763040.

Almost surely, 229271770960 is an apocalyptic number.

29271770960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29271770960 is an abundant number, since it is smaller than the sum of its proper divisors (42788445016).

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

29271770960 is a wasteful number, since it uses less digits than its factorization.

29271770960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21523391 (or 21523385 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 50.

The spelling of 29271770960 in words is "twenty-nine billion, two hundred seventy-one million, seven hundred seventy thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 21523361 43046722 86093444 107616805 172186888 215233610 344373776 365897137 430467220 731794274 860934440 1463588548 1721868880 1829485685 2927177096 3658971370 5854354192 7317942740 14635885480 29271770960