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2929948641 = 32180432
BaseRepresentation
bin1010111010100011…
…0111011111100001
321120012012210221100
42232220313133201
522000031324031
61202422545013
7132415103214
oct25650673741
97505183840
102929948641
111273974864
12699298169
13379028529
141db1ad77b
15122357de6
hexaea377e1

2929948641 has 9 divisors (see below), whose sum is σ = 4232382609. Its totient is φ = 1953190836.

The previous prime is 2929948639. The next prime is 2929948649. The reversal of 2929948641 is 1468499292.

The square root of 2929948641 is 54129.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2929948641 - 21 = 2929948639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2929948649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 153366 + ... + 171408.

Almost surely, 22929948641 is an apocalyptic number.

2929948641 is the 54129-th square number.

2929948641 is the 27065-th centered octagonal number.

It is an amenable number.

2929948641 is a deficient number, since it is larger than the sum of its proper divisors (1302433968).

2929948641 is an frugal number, since it uses more digits than its factorization.

2929948641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36092 (or 18046 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The cubic root of 2929948641 is about 1430.9353166765.

The spelling of 2929948641 in words is "two billion, nine hundred twenty-nine million, nine hundred forty-eight thousand, six hundred forty-one".

Divisors: 1 3 9 18043 54129 162387 325549849 976649547 2929948641