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29691536128 = 28314191253
BaseRepresentation
bin11011101001110000…
…001110001100000000
32211122020212022111021
4123221300032030000
5441302013124003
621350132355224
72100532615162
oct335160161400
984566768437
1029691536128
1111657109611
125907775b14
132a524c29b7
1416194b0932
15b8b9e72bd
hex6e9c0e300

29691536128 has 72 divisors (see below), whose sum is σ = 62671787136. Its totient is φ = 14016307200.

The previous prime is 29691536111. The next prime is 29691536137. The reversal of 29691536128 is 82163519692.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279750 + ... + 371002.

It is an arithmetic number, because the mean of its divisors is an integer number (870441488).

Almost surely, 229691536128 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 29691536128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31335893568).

29691536128 is an abundant number, since it is smaller than the sum of its proper divisors (32980251008).

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

29691536128 is an equidigital number, since it uses as much as digits as its factorization.

29691536128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91341 (or 91327 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 52.

The spelling of 29691536128 in words is "twenty-nine billion, six hundred ninety-one million, five hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 128 164 248 256 328 496 656 992 1271 1312 1984 2542 2624 3968 5084 5248 7936 10168 10496 20336 40672 81344 91253 162688 182506 325376 365012 730024 1460048 2828843 2920096 3741373 5657686 5840192 7482746 11315372 11680384 14965492 22630744 23360768 29930984 45261488 59861968 90522976 115982563 119723936 181045952 231965126 239447872 362091904 463930252 478895744 724183808 927860504 957791488 1855721008 3711442016 7422884032 14845768064 29691536128