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29240059932 = 22325338340013
BaseRepresentation
bin11011001110110101…
…111110100000011100
32210110210022221120200
4123032311332200130
5434340423404212
621233243543500
72053411260066
oct331665764034
983423287520
1029240059932
1111445284896
12580052ab90
1329acaca115
1415b554a736
15b620666dc
hex6ced7e81c

29240059932 has 72 divisors (see below), whose sum is σ = 75505457664. Its totient is φ = 9537580416.

The previous prime is 29240059921. The next prime is 29240059963. The reversal of 29240059932 is 23995004292.

29240059932 is a `hidden beast` number, since 2 + 9 + 24 + 0 + 0 + 599 + 32 = 666.

It is a super-4 number, since 4×292400599324 (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710758 + ... + 750770.

It is an arithmetic number, because the mean of its divisors is an integer number (1048686912).

Almost surely, 229240059932 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 29240059932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37752728832).

29240059932 is an abundant number, since it is smaller than the sum of its proper divisors (46265397732).

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

29240059932 is a wasteful number, since it uses less digits than its factorization.

29240059932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40459 (or 40454 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 29240059932 in words is "twenty-nine billion, two hundred forty million, fifty-nine thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 383 477 636 766 954 1149 1532 1908 2298 3447 4596 6894 13788 20299 40013 40598 60897 80026 81196 120039 121794 160052 182691 240078 243588 360117 365382 480156 720234 730764 1440468 2120689 4241378 6362067 8482756 12724134 15324979 19086201 25448268 30649958 38172402 45974937 61299916 76344804 91949874 137924811 183899748 275849622 551699244 812223887 1624447774 2436671661 3248895548 4873343322 7310014983 9746686644 14620029966 29240059932