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29914123720 = 2351357527161
BaseRepresentation
bin11011110111000001…
…010100110111001000
32212012202200221021011
4123313001110313020
5442231003424340
621424203253304
72106204566455
oct336701246710
985182627234
1029914123720
11117608199a8
12596a21a234
132a89658130
14163ac9282c
15ba13140ea
hex6f7054dc8

29914123720 has 32 divisors (see below), whose sum is σ = 72484224120. Its totient is φ = 11045214720.

The previous prime is 29914123717. The next prime is 29914123721. The reversal of 29914123720 is 2732141992.

It can be written as a sum of positive squares in 4 ways, for example, as 13405471524 + 16508652196 = 115782^2 + 128486^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (29914123721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28763061 + ... + 28764100.

Almost surely, 229914123720 is an apocalyptic number.

29914123720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29914123720 is an abundant number, since it is smaller than the sum of its proper divisors (42570100400).

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

29914123720 is a wasteful number, since it uses less digits than its factorization.

29914123720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57527185 (or 57527181 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 29914123720 in words is "twenty-nine billion, nine hundred fourteen million, one hundred twenty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 57527161 115054322 230108644 287635805 460217288 575271610 747853093 1150543220 1495706186 2301086440 2991412372 3739265465 5982824744 7478530930 14957061860 29914123720