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2648907135 = 3257191034297
BaseRepresentation
bin1001110111100011…
…0001110101111111
320211121101102110200
42131320301311333
520411110012020
61114503134543
7122433224220
oct23570616577
96747342420
102648907135
11113a26a156
1261b144453
13332a37a94
141b1b33247
15107841590
hex9de31d7f

2648907135 has 96 divisors (see below), whose sum is σ = 5578460160. Its totient is φ = 1135793664.

The previous prime is 2648907133. The next prime is 2648907143. The reversal of 2648907135 is 5317098462.

2648907135 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2648907135 - 21 = 2648907133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

2648907135 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2648907133) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 614307 + ... + 618603.

It is an arithmetic number, because the mean of its divisors is an integer number (58108960).

It is a 1-persistent number, because it is pandigital, but 2⋅2648907135 = 5297814270 is not.

Almost surely, 22648907135 is an apocalyptic number.

2648907135 is an abundant number, since it is smaller than the sum of its proper divisors (2929553025).

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

2648907135 is a wasteful number, since it uses less digits than its factorization.

2648907135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437 (or 4434 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2648907135 is about 51467.5347670743. The cubic root of 2648907135 is about 1383.6372464634.

The spelling of 2648907135 in words is "two billion, six hundred forty-eight million, nine hundred seven thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 103 105 133 171 285 309 315 399 515 665 721 855 927 1197 1545 1957 1995 2163 3605 4297 4635 5871 5985 6489 9785 10815 12891 13699 17613 21485 29355 30079 32445 38673 41097 64455 68495 81643 88065 90237 123291 150395 193365 205485 244929 270711 408215 442591 451185 571501 616455 734787 1224645 1327773 1353555 1714503 2212955 2857505 3098137 3673935 3983319 5143509 6638865 8409229 8572515 9294411 15490685 19916595 25227687 25717545 27883233 42046145 46472055 58864603 75683061 126138435 139416165 176593809 294323015 378415305 529781427 882969045 2648907135