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29405827125796 = 22112192129732
BaseRepresentation
bin1101010111110100100111…
…11000010101001000100100
310212010011120122121100211211
412223322103320111020210
512323241113221011141
6142312503412241204
76123333544320142
oct653722370251044
9125104518540754
1029405827125796
119407a39893400
12336b068010204
131353c5ab00194
1473936cd94592
1535eda67e6d81
hex1abe93e15224

29405827125796 has 81 divisors (see below), whose sum is σ = 59702012482833. Its totient is φ = 12661820281440.

The previous prime is 29405827125769. The next prime is 29405827125847. The reversal of 29405827125796 is 69752172850492.

The square root of 29405827125796 is 5422714.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 113225520100 + 29292601605696 = 336490^2 + 5412264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2266687966 + ... + 2266700938.

Almost surely, 229405827125796 is an apocalyptic number.

29405827125796 is the 5422714-th square number.

It is an amenable number.

29405827125796 is an abundant number, since it is smaller than the sum of its proper divisors (30296185357037).

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

29405827125796 is an equidigital number, since it uses as much as digits as its factorization.

29405827125796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26010 (or 13005 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 67.

The spelling of 29405827125796 in words is "twenty-nine trillion, four hundred five billion, eight hundred twenty-seven million, one hundred twenty-five thousand, seven hundred ninety-six".

Divisors: 1 2 4 11 19 22 38 44 76 121 209 242 361 418 484 722 836 1444 2299 3971 4598 7942 9196 12973 15884 25946 43681 51892 87362 142703 174724 246487 285406 492974 570812 985948 1569733 2711357 3139466 4683253 5422714 6278932 9366506 10845428 18733012 29824927 51515783 59649854 103031566 119299708 168298729 206063132 336597458 566673613 673194916 1133347226 1851286019 2266694452 3197675851 3702572038 6395351702 7405144076 12790703404 20364146209 35174434361 40728292418 60755841169 70348868722 81456584836 121511682338 140697737444 243023364676 386918777971 668314252859 773837555942 1336628505718 1547675111884 2673257011436 7351456781449 14702913562898 29405827125796