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29942859744 = 2532714852609
BaseRepresentation
bin11011111000101110…
…111100011111100000
32212021202202212200100
4123320232330133200
5442310333002434
621431111222400
72110004052120
oct337056743740
985252685610
1029942859744
1111775a66786
125977977a00
132a925a99b5
141640a12c80
15ba3add699
hex6f8bbc7e0

29942859744 has 72 divisors (see below), whose sum is σ = 97314300720. Its totient is φ = 8555102208.

The previous prime is 29942859659. The next prime is 29942859757. The reversal of 29942859744 is 44795824992.

29942859744 is a `hidden beast` number, since 2 + 99 + 428 + 59 + 74 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7424289 + ... + 7428320.

It is an arithmetic number, because the mean of its divisors is an integer number (1351587510).

Almost surely, 229942859744 is an apocalyptic number.

29942859744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29942859744 is an abundant number, since it is smaller than the sum of its proper divisors (67371440976).

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

29942859744 is a wasteful number, since it uses less digits than its factorization.

29942859744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14852632 (or 14852621 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 29942859744 in words is "twenty-nine billion, nine hundred forty-two million, eight hundred fifty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 14852609 29705218 44557827 59410436 89115654 103968263 118820872 133673481 178231308 207936526 237641744 267346962 311904789 356462616 415873052 475283488 534693924 623809578 712925232 831746104 935714367 1069387848 1247619156 1425850464 1663492208 1871428734 2138775696 2495238312 3326984416 3742857468 4277551392 4990476624 7485714936 9980953248 14971429872 29942859744