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29297034240 = 210352989739
BaseRepresentation
bin11011010010001111…
…010100010000000000
32210121202112112122020
4123102033110100000
5440000020043430
621243041041440
72055002452665
oct332217242000
983552475566
1029297034240
11114744594a1
125817626280
1329bb857b26
1415bcd3ba6c
15b6706cb10
hex6d23d4400

29297034240 has 352 divisors, whose sum is σ = 98157744000. Its totient is φ = 7448297472.

The previous prime is 29297034203. The next prime is 29297034331. The reversal of 29297034240 is 4243079292.

It is a junction number, because it is equal to n+sod(n) for n = 29297034192 and 29297034201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39643791 + ... + 39644529.

Almost surely, 229297034240 is an apocalyptic number.

29297034240 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 29297034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49078872000).

29297034240 is an abundant number, since it is smaller than the sum of its proper divisors (68860709760).

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

29297034240 is a wasteful number, since it uses less digits than its factorization.

29297034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 29297034240 in words is "twenty-nine billion, two hundred ninety-seven million, thirty-four thousand, two hundred forty".