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2929793328 = 2434711217157
BaseRepresentation
bin1010111010100001…
…0001100100110000
321120011220220220000
42232220101210300
522000011341303
61202415350000
7132413555340
oct25650214460
97504826800
102929793328
111273879100
12699222300
13378ca2927
141db16cd20
15122326da3
hexaea11930

2929793328 has 600 divisors, whose sum is σ = 11350586016. Its totient is φ = 711659520.

The previous prime is 2929793327. The next prime is 2929793329. The reversal of 2929793328 is 8233979292.

It is a happy number.

2929793328 is a `hidden beast` number, since 29 + 297 + 9 + 3 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (2929793327) and next prime (2929793329).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2929793323) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 18661026 + ... + 18661182.

Almost surely, 22929793328 is an apocalyptic number.

2929793328 is a gapful number since it is divisible by the number (28) 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 2929793328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5675293008).

2929793328 is an abundant number, since it is smaller than the sum of its proper divisors (8420792688).

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

2929793328 is a wasteful number, since it uses less digits than its factorization.

2929793328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 197 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 2929793328 is about 54127.5653248878. The cubic root of 2929793328 is about 1430.9100321851.

The spelling of 2929793328 in words is "two billion, nine hundred twenty-nine million, seven hundred ninety-three thousand, three hundred twenty-eight".