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29882161452 = 2231121331223229
BaseRepresentation
bin11011110101000111…
…011001100100101100
32212010112120002021110
4123311013121210230
5442144313131302
621421102232020
72105336116143
oct336507314454
985115502243
1029882161452
1111744779200
12595b585610
132a82b46c50
14163693275a
15b9d5edb6c
hex6f51d992c

29882161452 has 288 divisors, whose sum is σ = 85953495040. Its totient is φ = 8017574400.

The previous prime is 29882161429. The next prime is 29882161501. The reversal of 29882161452 is 25416128892.

Its product of digits (552960) is a multiple of the sum of its prime divisors (512).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130489674 + ... + 130489902.

Almost surely, 229882161452 is an apocalyptic number.

29882161452 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29882161452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42976747520).

29882161452 is an abundant number, since it is smaller than the sum of its proper divisors (56071333588).

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

29882161452 is a wasteful number, since it uses less digits than its factorization.

29882161452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 512 counting only the distinct ones).

The product of its digits is 552960, while the sum is 48.

The spelling of 29882161452 in words is "twenty-nine billion, eight hundred eighty-two million, one hundred sixty-one thousand, four hundred fifty-two".