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2929131072 = 26347531523
BaseRepresentation
bin1010111010010110…
…1111111001000000
321120010200021110000
42232211233321000
521444324143242
61202353240000
7132405126510
oct25645577100
97503607400
102929131072
11127346658a
12698b63000
13378b0036a
141db039840
15122245a4c
hexae96fe40

2929131072 has 280 divisors, whose sum is σ = 10117141056. Its totient is φ = 820564992.

The previous prime is 2929131043. The next prime is 2929131097. The reversal of 2929131072 is 2701319292.

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

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 39 ways as a sum of consecutive naturals, for example, 1922503 + ... + 1924025.

Almost surely, 22929131072 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 2929131072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5058570528).

2929131072 is an abundant number, since it is smaller than the sum of its proper divisors (7188009984).

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

2929131072 is a wasteful number, since it uses less digits than its factorization.

2929131072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 2929131072 is about 54121.4474307552. The cubic root of 2929131072 is about 1430.8022088613.

The spelling of 2929131072 in words is "two billion, nine hundred twenty-nine million, one hundred thirty-one thousand, seventy-two".