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29701609888 = 2531127431547
BaseRepresentation
bin11011101010010110…
…101001100110100000
32211122221211010002111
4123222112221212200
5441312103004023
621351132325104
72101014342556
oct335226514640
984587733074
1029701609888
111166186a135
12590b013794
132a5460bcc2
14161a973bd6
15b8c83700d
hex6ea5a99a0

29701609888 has 96 divisors (see below), whose sum is σ = 61089251328. Its totient is φ = 14199494400.

The previous prime is 29701609871. The next prime is 29701609967. The reversal of 29701609888 is 88890610792.

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, 54298831 + ... + 54299377.

It is an arithmetic number, because the mean of its divisors is an integer number (636346368).

Almost surely, 229701609888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29701609888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30544625664).

29701609888 is an abundant number, since it is smaller than the sum of its proper divisors (31387641440).

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

29701609888 is a wasteful number, since it uses less digits than its factorization.

29701609888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 58.

The spelling of 29701609888 in words is "twenty-nine billion, seven hundred one million, six hundred nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 31 32 62 124 127 248 254 431 496 508 547 862 992 1016 1094 1724 2032 2188 3448 3937 4064 4376 6896 7874 8752 13361 13792 15748 16957 17504 26722 31496 33914 53444 54737 62992 67828 69469 106888 109474 125984 135656 138938 213776 218948 235757 271312 277876 427552 437896 471514 542624 555752 875792 943028 1111504 1696847 1751584 1886056 2153539 2223008 3393694 3772112 4307078 6787388 7308467 7544224 8614156 13574776 14616934 17228312 27149552 29233868 29941139 34456624 54299104 58467736 59882278 68913248 116935472 119764556 233870944 239529112 479058224 928175309 958116448 1856350618 3712701236 7425402472 14850804944 29701609888