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29243047680 = 28365711237
BaseRepresentation
bin11011001111000001…
…010111111100000000
32210110222221202000000
4123033001113330000
5434342210011210
621233432000000
72053445542530
oct331701277400
983428852000
1029243047680
1111446a35600
125801530000
1329b0605012
1415b5ac74c0
15b62456ac0
hex6cf057f00

29243047680 has 1512 divisors, whose sum is σ = 135493211616. Its totient is φ = 5912248320.

The previous prime is 29243047679. The next prime is 29243047697. The reversal of 29243047680 is 8674034292.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×292430476802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 790352622 + ... + 790352658.

Almost surely, 229243047680 is an apocalyptic number.

29243047680 is a gapful number since it is divisible by the number (20) 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 29243047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67746605808).

29243047680 is an abundant number, since it is smaller than the sum of its proper divisors (106250163936).

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

29243047680 is an equidigital number, since it uses as much as digits as its factorization.

29243047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 29243047680 in words is "twenty-nine billion, two hundred forty-three million, forty-seven thousand, six hundred eighty".