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29412521712 = 2435717151421
BaseRepresentation
bin11011011001000111…
…110111011011110000
32210220210211220200000
4123121013313123300
5440214101143322
621302324230000
72060604211110
oct333107673360
983823756600
1029412521712
1111523668992
12584a23b300
132a09761b02
1415d0401040
15b722813ac
hex6d91f76f0

29412521712 has 480 divisors, whose sum is σ = 104227329024. Its totient is φ = 7838208000.

The previous prime is 29412521701. The next prime is 29412521731. The reversal of 29412521712 is 21712521492.

It is a happy number.

29412521712 is a `hidden beast` number, since 29 + 41 + 2 + 521 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69863262 + ... + 69863682.

Almost surely, 229412521712 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 29412521712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52113664512).

29412521712 is an abundant number, since it is smaller than the sum of its proper divisors (74814807312).

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

29412521712 is a wasteful number, since it uses less digits than its factorization.

29412521712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 601 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The spelling of 29412521712 in words is "twenty-nine billion, four hundred twelve million, five hundred twenty-one thousand, seven hundred twelve".