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29370418884 = 223495212
BaseRepresentation
bin11011010110100111…
…010000011011000100
32210210212121212110000
4123112213100123010
5440122311401014
621254222001300
72056553304252
oct332647203304
983725555400
1029370418884
1111501921464
125838116230
132a00b100b1
1415c89a15d2
15b6d716509
hex6d69d06c4

29370418884 has 45 divisors (see below), whose sum is σ = 76788141661. Its totient is φ = 9789111360.

The previous prime is 29370418879. The next prime is 29370418991. The reversal of 29370418884 is 48881407392.

It is a happy number.

The square root of 29370418884 is 171378.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12945433284 + 16424985600 = 113778^2 + 128160^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 29370418884.

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 14 ways as a sum of consecutive naturals, for example, 3080044 + ... + 3089564.

Almost surely, 229370418884 is an apocalyptic number.

29370418884 is the 171378-th square number.

It is an amenable number.

29370418884 is an abundant number, since it is smaller than the sum of its proper divisors (47417722777).

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

29370418884 is an frugal number, since it uses more digits than its factorization.

29370418884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19058 (or 9526 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 29370418884 in words is "twenty-nine billion, three hundred seventy million, four hundred eighteen thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 9521 19042 28563 38084 57126 85689 114252 171378 257067 342756 514134 771201 1028268 1542402 3084804 90649441 181298882 271948323 362597764 543896646 815844969 1087793292 1631689938 2447534907 3263379876 4895069814 7342604721 9790139628 14685209442 29370418884