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29969460081 = 3311412461153
BaseRepresentation
bin11011111010010100…
…011010101101110001
32212100121211022111000
4123322110122231301
5442334140210311
621433501312213
72110446131121
oct337224325561
985317738430
1029969460081
1111789a84a30
125984865669
132a97c61442
141644378c81
15ba60e5056
hex6fa51ab71

29969460081 has 32 divisors (see below), whose sum is σ = 49616864640. Its totient is φ = 17720294400.

The previous prime is 29969460061. The next prime is 29969460137. The reversal of 29969460081 is 18006496992.

29969460081 is a `hidden beast` number, since 29 + 9 + 6 + 9 + 4 + 600 + 8 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-29969460081 is a prime.

It is a super-2 number, since 2×299694600812 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (29969460061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1218400 + ... + 1242753.

It is an arithmetic number, because the mean of its divisors is an integer number (1550527020).

Almost surely, 229969460081 is an apocalyptic number.

It is an amenable number.

29969460081 is a deficient number, since it is larger than the sum of its proper divisors (19647404559).

29969460081 is a wasteful number, since it uses less digits than its factorization.

29969460081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461214 (or 2461208 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 29969460081 in words is "twenty-nine billion, nine hundred sixty-nine million, four hundred sixty thousand, eighty-one".

Divisors: 1 3 9 11 27 33 41 99 123 297 369 451 1107 1353 4059 12177 2461153 7383459 22150377 27072683 66451131 81218049 100907273 243654147 302721819 730962441 908165457 1109980003 2724496371 3329940009 9989820027 29969460081