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2129753408 = 2633277397
BaseRepresentation
bin111111011110001…
…0111010101000000
312111102111200102212
41332330113111000
513330204102113
6551200001252
7103530414416
oct17674272500
95442450385
102129753408
119a3210292
124b5300228
1327c307823
14162bd32b6
15c6e930a8
hex7ef17540

2129753408 has 14 divisors (see below), whose sum is σ = 4226229546. Its totient is φ = 1064876672.

The previous prime is 2129753399. The next prime is 2129753443. The reversal of 2129753408 is 8043579212.

It can be written as a sum of positive squares in only one way, i.e., 1974202624 + 155550784 = 44432^2 + 12472^2 .

It is a super-2 number, since 2×21297534082 = 9071699157775228928, which contains 22 as substring.

It is a congruent number.

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 as a sum of consecutive naturals, namely, 16638635 + ... + 16638762.

It is an arithmetic number, because the mean of its divisors is an integer number (301873539).

Almost surely, 22129753408 is an apocalyptic number.

It is an amenable number.

2129753408 is a deficient number, since it is larger than the sum of its proper divisors (2096476138).

2129753408 is an equidigital number, since it uses as much as digits as its factorization.

2129753408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33277409 (or 33277399 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 2129753408 is about 46149.2514348825. The cubic root of 2129753408 is about 1286.5986971651.

The spelling of 2129753408 in words is "two billion, one hundred twenty-nine million, seven hundred fifty-three thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 33277397 66554794 133109588 266219176 532438352 1064876704 2129753408