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2054977729 = 722959127193
BaseRepresentation
bin111101001111100…
…0111100011000001
312022012210200111021
41322133013203001
513202033241404
6535525145441
7101632010500
oct17237074301
95265720437
102054977729
11964a88202
1249425b281
1326998636c
14156cca837
15c0622454
hex7a7c78c1

2054977729 has 48 divisors (see below), whose sum is σ = 2547763200. Its totient is φ = 1650087936.

The previous prime is 2054977709. The next prime is 2054977747. The reversal of 2054977729 is 9277794502.

It is not a de Polignac number, because 2054977729 - 223 = 2046589121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2054977709) 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, 10647457 + ... + 10647649.

It is an arithmetic number, because the mean of its divisors is an integer number (53078400).

Almost surely, 22054977729 is an apocalyptic number.

2054977729 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2054977729 is a deficient number, since it is larger than the sum of its proper divisors (492785471).

2054977729 is a wasteful number, since it uses less digits than its factorization.

2054977729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 52.

The square root of 2054977729 is about 45331.8621832371. The cubic root of 2054977729 is about 1271.3614533719.

The spelling of 2054977729 in words is "two billion, fifty-four million, nine hundred seventy-seven thousand, seven hundred twenty-nine".

Divisors: 1 7 29 49 59 127 193 203 413 889 1351 1421 1711 2891 3683 5597 6223 7493 9457 11387 11977 24511 25781 39179 52451 79709 83839 171577 180467 217297 274253 330223 367157 557963 710819 1201039 1446149 1521079 2311561 4975733 10123043 10647553 16180927 34830131 41938321 70861301 293568247 2054977729