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2540313533264 = 241347972678887
BaseRepresentation
bin100100111101110110011…
…111000101101101010000
322222211222211002020111012
4210331312133011231100
5313110030231031024
65223000503110052
7351350223521363
oct44756637055520
98884884066435
102540313533264
1189a382844521
123503b5a42328
131557206c0330
148ad47b780da
154612cdcb50e
hex24f767c5b50

2540313533264 has 80 divisors (see below), whose sum is σ = 5469046291968. Its totient is φ = 1135676215296.

The previous prime is 2540313533249. The next prime is 2540313533269. The reversal of 2540313533264 is 4623353130452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540313533269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391172 + ... + 2287715.

Almost surely, 22540313533264 is an apocalyptic number.

It is an amenable number.

2540313533264 is an abundant number, since it is smaller than the sum of its proper divisors (2928732758704).

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

2540313533264 is a wasteful number, since it uses less digits than its factorization.

2540313533264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679052 (or 2679046 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 41.

The spelling of 2540313533264 in words is "two trillion, five hundred forty billion, three hundred thirteen million, five hundred thirty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 47 52 94 97 104 188 194 208 376 388 611 752 776 1222 1261 1552 2444 2522 4559 4888 5044 9118 9776 10088 18236 20176 36472 59267 72944 118534 237068 474136 948272 2678887 5357774 10715548 21431096 34825531 42862192 69651062 125907689 139302124 251815378 259852039 278604248 503630756 519704078 557208496 1007261512 1039408156 1636799957 2014523024 2078816312 3273599914 3378076507 4157632624 6547199828 6756153014 12213045833 13094399656 13512306028 24426091666 26188799312 27024612056 48852183332 54049224112 97704366664 158769595829 195408733328 317539191658 635078383316 1270156766632 2540313533264