Search a number
-
+
29448168704 = 28196199251
BaseRepresentation
bin11011011011001111…
…110110010100000000
32211000021220222010222
4123123033312110000
5440302212344304
621310040242212
72061516206153
oct333317662400
984007828128
1029448168704
11115417a6009
12585a170368
132a13c631c6
1415d503dc9a
15b754734be
hex6db3f6500

29448168704 has 72 divisors (see below), whose sum is σ = 62890037280. Its totient is φ = 13720320000.

The previous prime is 29448168671. The next prime is 29448168709. The reversal of 29448168704 is 40786184492.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29448168709) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247079 + ... + 346329.

It is an arithmetic number, because the mean of its divisors is an integer number (873472740).

Almost surely, 229448168704 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 29448168704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31445018640).

29448168704 is an abundant number, since it is smaller than the sum of its proper divisors (33441868576).

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

29448168704 is an equidigital number, since it uses as much as digits as its factorization.

29448168704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99347 (or 99333 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 53.

The spelling of 29448168704 in words is "twenty-nine billion, four hundred forty-eight million, one hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 16 19 32 38 61 64 76 122 128 152 244 256 304 488 608 976 1159 1216 1952 2318 2432 3904 4636 4864 7808 9272 15616 18544 37088 74176 99251 148352 198502 296704 397004 794008 1588016 1885769 3176032 3771538 6054311 6352064 7543076 12108622 12704128 15086152 24217244 25408256 30172304 48434488 60344608 96868976 115031909 120689216 193737952 230063818 241378432 387475904 460127636 482756864 774951808 920255272 1549903616 1840510544 3681021088 7362042176 14724084352 29448168704