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29141005968 = 2432472942793
BaseRepresentation
bin11011001000111100…
…000111011010010000
32210012212221111002100
4123020330013122100
5434140044142333
621215344520400
72051066315034
oct331074073220
983185844070
1029141005968
11113a437a108
125793320100
1329954280c9
1415a63241c4
15b584ec213
hex6c8f07690

29141005968 has 60 divisors (see below), whose sum is σ = 81573494860. Its totient is φ = 9711387648.

The previous prime is 29141005961. The next prime is 29141005969. The reversal of 29141005968 is 86950014192.

It can be written as a sum of positive squares in 2 ways, for example, as 6119619984 + 23021385984 = 78228^2 + 151728^2 .

It is not an unprimeable number, because it can be changed into a prime (29141005961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 659580 + ... + 702372.

Almost surely, 229141005968 is an apocalyptic number.

It is an amenable number.

29141005968 is an abundant number, since it is smaller than the sum of its proper divisors (52432488892).

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

29141005968 is a wasteful number, since it uses less digits than its factorization.

29141005968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47536 (or 47527 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 29141005968 in words is "twenty-nine billion, one hundred forty-one million, five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4729 9458 14187 18916 28374 37832 42561 42793 56748 75664 85122 85586 113496 128379 170244 171172 226992 256758 340488 342344 385137 513516 680976 684688 770274 1027032 1540548 2054064 3081096 6162192 202368097 404736194 607104291 809472388 1214208582 1618944776 1821312873 2428417164 3237889552 3642625746 4856834328 7285251492 9713668656 14570502984 29141005968