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29034310116 = 22375310496217
BaseRepresentation
bin11011000010100101…
…000110100111100100
32202221110011202220010
4123002211012213210
5433430240410431
621201014010220
72045332364310
oct330245064744
982843152803
1029034310116
111134a124a19
125763646970
1329792ab976
1415960acb40
15b4de73846
hex6c29469e4

29034310116 has 96 divisors (see below), whose sum is σ = 78973574400. Its totient is φ = 8129931264.

The previous prime is 29034310111. The next prime is 29034310121. The reversal of 29034310116 is 61101343092.

It is an interprime number because it is at equal distance from previous prime (29034310111) and next prime (29034310121).

It is not an unprimeable number, because it can be changed into a prime (29034310111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4667040 + ... + 4673256.

It is an arithmetic number, because the mean of its divisors is an integer number (822641400).

Almost surely, 229034310116 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 29034310116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39486787200).

29034310116 is an abundant number, since it is smaller than the sum of its proper divisors (49939264284).

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

29034310116 is a wasteful number, since it uses less digits than its factorization.

29034310116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7333 (or 7331 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 29034310116 in words is "twenty-nine billion, thirty-four million, three hundred ten thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 1049 1113 1484 2098 2226 3147 4196 4452 6217 6294 7343 12434 12588 14686 18651 22029 24868 29372 37302 43519 44058 55597 74604 87038 88116 111194 130557 166791 174076 222388 261114 329501 333582 389179 522228 659002 667164 778358 988503 1167537 1318004 1556716 1977006 2306507 2335074 3954012 4613014 4670148 6521633 6919521 9226028 13043266 13839042 19564899 26086532 27678084 39129798 45651431 78259596 91302862 136954293 182605724 273908586 345646549 547817172 691293098 1036939647 1382586196 2073879294 2419525843 4147758588 4839051686 7258577529 9678103372 14517155058 29034310116