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29879196240 = 2435314016021
BaseRepresentation
bin11011110100111100…
…000101101001010000
32212010022222102202210
4123310330011221100
5442143033234430
621420514512120
72105301656205
oct336474055120
985108872683
1029879196240
1111743033413
12595a595640
132a8234939a
14163639dcac
15b9d2152b0
hex6f4f05a50

29879196240 has 80 divisors (see below), whose sum is σ = 95613451776. Its totient is φ = 7710758400.

The previous prime is 29879196239. The next prime is 29879196253. The reversal of 29879196240 is 4269197892.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2000571 + ... + 2015450.

Almost surely, 229879196240 is an apocalyptic number.

29879196240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29879196240 is an abundant number, since it is smaller than the sum of its proper divisors (65734255536).

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

29879196240 is a wasteful number, since it uses less digits than its factorization.

29879196240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4016068 (or 4016062 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 29879196240 in words is "twenty-nine billion, eight hundred seventy-nine million, one hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 4016021 8032042 12048063 16064084 20080105 24096126 32128168 40160210 48192252 60240315 64256336 80320420 96384504 120480630 124496651 160640840 192769008 240961260 248993302 321281680 373489953 481922520 497986604 622483255 746979906 963845040 995973208 1244966510 1493959812 1867449765 1991946416 2489933020 2987919624 3734899530 4979866040 5975839248 7469799060 9959732080 14939598120 29879196240