Search a number
-
+
29420306892 = 22337918119051
BaseRepresentation
bin11011011001100101…
…100100000111001100
32210221100111102221000
4123121211210013030
5440223044310032
621303203140300
72061030324324
oct333145440714
983840442830
1029420306892
1111527aa6019
125850974690
132a0b259522
1415d146a284
15b72cbce7c
hex6d99641cc

29420306892 has 96 divisors (see below), whose sum is σ = 77671193600. Its totient is φ = 9628632000.

The previous prime is 29420306887. The next prime is 29420306899. The reversal of 29420306892 is 29860302492.

It is a super-3 number, since 3×294203068923 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (29420306899) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1534767 + ... + 1553817.

Almost surely, 229420306892 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 29420306892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38835596800).

29420306892 is an abundant number, since it is smaller than the sum of its proper divisors (48250886708).

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

29420306892 is a wasteful number, since it uses less digits than its factorization.

29420306892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19324 (or 19316 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 29420306892 in words is "twenty-nine billion, four hundred twenty million, three hundred six thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 158 181 237 316 362 474 543 711 724 948 1086 1422 1629 2133 2172 2844 3258 4266 4887 6516 8532 9774 14299 19051 19548 28598 38102 42897 57153 57196 76204 85794 114306 128691 171459 171588 228612 257382 342918 386073 514377 514764 685836 772146 1028754 1505029 1544292 2057508 3010058 3448231 4515087 6020116 6896462 9030174 10344693 13545261 13792924 18060348 20689386 27090522 31034079 40635783 41378772 54181044 62068158 81271566 93102237 124136316 162543132 186204474 272410249 372408948 544820498 817230747 1089640996 1634461494 2451692241 3268922988 4903384482 7355076723 9806768964 14710153446 29420306892