Search a number
-
+
29327135344 = 24133141110933
BaseRepresentation
bin11011010100000010…
…001001001001110000
32210200212011211120221
4123110002021021300
5440030221312334
621250034142424
72055516352213
oct332402111160
983625154527
1029327135344
111148a448941
125825721a14
1329c4b66b30
1415c2d3577a
15b69a168b4
hex6d4089270

29327135344 has 80 divisors (see below), whose sum is σ = 64707358464. Its totient is φ = 12779366400.

The previous prime is 29327135293. The next prime is 29327135347. The reversal of 29327135344 is 44353172392.

It is a self number, because there is not a number n which added to its sum of digits gives 29327135344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29327135347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208902 + ... + 319834.

Almost surely, 229327135344 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 29327135344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32353679232).

29327135344 is an abundant number, since it is smaller than the sum of its proper divisors (35380223120).

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

29327135344 is a wasteful number, since it uses less digits than its factorization.

29327135344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111026 (or 111020 counting only the distinct ones).

The product of its digits is 544320, while the sum is 43.

The spelling of 29327135344 in words is "twenty-nine billion, three hundred twenty-seven million, one hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 31 41 52 62 82 104 124 164 208 248 328 403 496 533 656 806 1066 1271 1612 2132 2542 3224 4264 5084 6448 8528 10168 16523 20336 33046 66092 110933 132184 221866 264368 443732 887464 1442129 1774928 2884258 3438923 4548253 5768516 6877846 9096506 11537032 13755692 18193012 23074064 27511384 36386024 44705999 55022768 59127289 72772048 89411998 118254578 140995843 178823996 236509156 281991686 357647992 473018312 563983372 715295984 946036624 1127966744 1832945959 2255933488 3665891918 7331783836 14663567672 29327135344