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42729115224 = 23337137351229
BaseRepresentation
bin100111110010110110…
…101000111001011000
311002021212100221210010
4213302312220321120
51200002123141344
631343545121520
73041603325645
oct476266507130
9132255327703
1042729115224
1117137520774
128345a892a0
13404c5c1343
1420d4c1cdcc
1511a13bd8b9
hex9f2da8e58

42729115224 has 64 divisors (see below), whose sum is σ = 110511007200. Its totient is φ = 13756898304.

The previous prime is 42729115207. The next prime is 42729115229. The reversal of 42729115224 is 42251192724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42729115229) 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 15 ways as a sum of consecutive naturals, for example, 53959 + ... + 297270.

Almost surely, 242729115224 is an apocalyptic number.

It is an amenable number.

42729115224 is an abundant number, since it is smaller than the sum of its proper divisors (67781891976).

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

42729115224 is a wasteful number, since it uses less digits than its factorization.

42729115224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351412 (or 351408 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The spelling of 42729115224 in words is "forty-two billion, seven hundred twenty-nine million, one hundred fifteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 137 148 222 274 296 411 444 548 822 888 1096 1644 3288 5069 10138 15207 20276 30414 40552 60828 121656 351229 702458 1053687 1404916 2107374 2809832 4214748 8429496 12995473 25990946 38986419 48118373 51981892 77972838 96236746 103963784 144355119 155945676 192473492 288710238 311891352 384946984 577420476 1154840952 1780379801 3560759602 5341139403 7121519204 10682278806 14243038408 21364557612 42729115224