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29317092480 = 2733513210039
BaseRepresentation
bin11011010011011011…
…110101010010000000
32210200011021121101000
4123103123311102000
5440020133424410
621245035012000
72055335113554
oct332333652200
983604247330
1029317092480
1111484809555
12582229a000
1329c2a5b900
1415c187d864
15b68bd0dc0
hex6d36f5480

29317092480 has 384 divisors, whose sum is σ = 112443984000. Its totient is φ = 7215796224.

The previous prime is 29317092479. The next prime is 29317092481. The reversal of 29317092480 is 8429071392.

It is an interprime number because it is at equal distance from previous prime (29317092479) and next prime (29317092481).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×293170924802 (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 not an unprimeable number, because it can be changed into a prime (29317092481) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2915301 + ... + 2925339.

It is an arithmetic number, because the mean of its divisors is an integer number (292822875).

Almost surely, 229317092480 is an apocalyptic number.

29317092480 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 29317092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56221992000).

29317092480 is an abundant number, since it is smaller than the sum of its proper divisors (83126891520).

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

29317092480 is a wasteful number, since it uses less digits than its factorization.

29317092480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10093 (or 10062 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 29317092480 in words is "twenty-nine billion, three hundred seventeen million, ninety-two thousand, four hundred eighty".