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29119690440 = 2332580888029
BaseRepresentation
bin11011000111101010…
…110011011011001000
32210011101211112200100
4123013222303123020
5434114120043230
621213304005400
72050420166451
oct330752633310
983141745610
1029119690440
1111393340475
125788160860
132990ba3c79
1415a3576128
15b566db660
hex6c7ab36c8

29119690440 has 48 divisors (see below), whose sum is σ = 94638995100. Its totient is φ = 7765250688.

The previous prime is 29119690433. The next prime is 29119690441. The reversal of 29119690440 is 4409691192.

29119690440 is a `hidden beast` number, since 2 + 9 + 119 + 6 + 90 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28866689604 + 253000836 = 169902^2 + 15906^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (29119690441) 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 11 ways as a sum of consecutive naturals, for example, 40443655 + ... + 40444374.

Almost surely, 229119690440 is an apocalyptic number.

29119690440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29119690440 is an abundant number, since it is smaller than the sum of its proper divisors (65519304660).

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

29119690440 is a wasteful number, since it uses less digits than its factorization.

29119690440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80888046 (or 80888039 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 29119690440 in words is "twenty-nine billion, one hundred nineteen million, six hundred ninety thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 80888029 161776058 242664087 323552116 404440145 485328174 647104232 727992261 808880290 970656348 1213320435 1455984522 1617760580 1941312696 2426640870 2911969044 3235521160 3639961305 4853281740 5823938088 7279922610 9706563480 14559845220 29119690440