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513541407316 = 227220171299013
BaseRepresentation
bin1110111100100010111…
…01000000001001010100
31211002112120202110220211
413132101131000021110
531403213100013231
61031530114335204
752050014640100
oct7362135001124
91732476673824
10513541407316
11188878811213
128363bb8a504
1339571741b22
141abd9842900
15d55987beb1
hex7791740254

513541407316 has 36 divisors (see below), whose sum is σ = 1045942690548. Its totient is φ = 219979888128.

The previous prime is 513541407311. The next prime is 513541407317. The reversal of 513541407316 is 613704145315.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 480346024900 + 33195382416 = 693070^2 + 182196^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513541407311) 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 11 ways as a sum of consecutive naturals, for example, 254175 + ... + 1044838.

Almost surely, 2513541407316 is an apocalyptic number.

It is an amenable number.

513541407316 is an abundant number, since it is smaller than the sum of its proper divisors (532401283232).

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

513541407316 is a wasteful number, since it uses less digits than its factorization.

513541407316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301048 (or 1301039 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 513541407316 in words is "five hundred thirteen billion, five hundred forty-one million, four hundred seven thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 196 2017 4034 8068 14119 28238 56476 98833 197666 395332 1299013 2598026 5196052 9093091 18186182 36372364 63651637 127303274 254606548 2620109221 5240218442 10480436884 18340764547 36681529094 73363058188 128385351829 256770703658 513541407316