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2423761137 = 3473233793
BaseRepresentation
bin1001000001110111…
…1010100011110001
320020220201211020000
42100131322203301
514430440324022
61040301340213
7114030426000
oct22035724361
96226654200
102423761137
111034171686
12577867669
132c81b7cb5
1418dc86c37
15e2bbb6ac
hex9077a8f1

2423761137 has 80 divisors (see below), whose sum is σ = 4407110400. Its totient is φ = 1324439424.

The previous prime is 2423761063. The next prime is 2423761139. The reversal of 2423761137 is 7311673242.

2423761137 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 7 + 611 + 37 = 666.

2423761137 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2423761137 - 28 = 2423760881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2423761139) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 637113 + ... + 640905.

It is an arithmetic number, because the mean of its divisors is an integer number (55088880).

Almost surely, 22423761137 is an apocalyptic number.

2423761137 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2423761137 is a deficient number, since it is larger than the sum of its proper divisors (1983349263).

2423761137 is an equidigital number, since it uses as much as digits as its factorization.

2423761137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849 (or 3826 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 2423761137 is about 49231.7086540778. The cubic root of 2423761137 is about 1343.2698670963.

The spelling of 2423761137 in words is "two billion, four hundred twenty-three million, seven hundred sixty-one thousand, one hundred thirty-seven".

Divisors: 1 3 7 9 21 23 27 49 63 69 81 147 161 189 207 343 441 483 567 621 1029 1127 1323 1449 1863 3087 3381 3793 3969 4347 7889 9261 10143 11379 13041 23667 26551 27783 30429 34137 71001 79653 87239 91287 102411 185857 213003 238959 261717 307233 557571 610673 639009 716877 785151 1300999 1672713 1832019 2150631 2355453 3902997 4274711 5018139 5496057 7066359 11708991 12824133 15054417 16488171 29922977 35126973 38472399 49464513 89768931 105380919 115417197 269306793 346251591 807920379 2423761137