Search a number
-
+
29146940394 = 23111323264217
BaseRepresentation
bin11011001001010010…
…110000001111101010
32210020022002222120220
4123021102300033222
5434143104043034
621220120030510
72051200622415
oct331122601752
983208088526
1029146940394
11113a77627a0
125795302436
1329967252c0
1415a702ab7c
15b58cc0749
hex6c94b03ea

29146940394 has 96 divisors (see below), whose sum is σ = 71593308864. Its totient is φ = 7798391040.

The previous prime is 29146940357. The next prime is 29146940399. The reversal of 29146940394 is 49304964192.

It is not an unprimeable number, because it can be changed into a prime (29146940399) 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 47 ways as a sum of consecutive naturals, for example, 421774 + ... + 485990.

It is an arithmetic number, because the mean of its divisors is an integer number (745763634).

Almost surely, 229146940394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29146940394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35796654432).

29146940394 is an abundant number, since it is smaller than the sum of its proper divisors (42446368470).

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

29146940394 is a wasteful number, since it uses less digits than its factorization.

29146940394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64292 (or 64269 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 29146940394 in words is "twenty-nine billion, one hundred forty-six million, nine hundred forty thousand, three hundred ninety-four".

Divisors: 1 2 3 6 11 13 22 23 26 33 39 46 66 69 78 138 143 253 286 299 429 506 529 598 759 858 897 1058 1518 1587 1794 3174 3289 5819 6578 6877 9867 11638 13754 17457 19734 20631 34914 41262 64217 75647 128434 151294 192651 226941 385302 453882 706387 834821 1412774 1476991 1669642 2119161 2504463 2953982 4238322 4430973 5008926 8861946 9183031 16246901 18366062 19200883 27549093 32493802 33970793 38401766 48740703 55098186 57602649 67941586 97481406 101912379 115205298 203824758 211209713 373678723 422419426 441620309 633629139 747357446 883240618 1121036169 1267258278 1324860927 2242072338 2649721854 4857823399 9715646798 14573470197 29146940394