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495416134136 = 237112271269791
BaseRepresentation
bin1110011010110010001…
…10100100100111111000
31202100202101212012101202
413031121012210213320
531104103012243021
61015331355033332
750535605442050
oct7153106444770
91670671765352
10495416134136
11181117546200
1280021a3b848
133794358c401
1419d9a526560
15cd484caa0b
hex73591a49f8

495416134136 has 96 divisors (see below), whose sum is σ = 1171199447040. Its totient is φ = 192306312000.

The previous prime is 495416134133. The next prime is 495416134141. The reversal of 495416134136 is 631431614594.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495416134133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1701401 + ... + 1971191.

It is an arithmetic number, because the mean of its divisors is an integer number (12199994240).

Almost surely, 2495416134136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495416134136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585599723520).

495416134136 is an abundant number, since it is smaller than the sum of its proper divisors (675783312904).

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

495416134136 is a wasteful number, since it uses less digits than its factorization.

495416134136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270097 (or 270082 counting only the distinct ones).

The product of its digits is 933120, while the sum is 47.

The spelling of 495416134136 in words is "four hundred ninety-five billion, four hundred sixteen million, one hundred thirty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 271 308 484 542 616 847 968 1084 1694 1897 2168 2981 3388 3794 5962 6776 7588 11924 15176 20867 23848 32791 41734 65582 83468 131164 166936 229537 262328 269791 459074 539582 918148 1079164 1836296 1888537 2158328 2967701 3777074 5935402 7554148 11870804 15108296 20773907 23741608 32644711 41547814 65289422 73113361 83095628 130578844 146226722 166191256 228512977 261157688 292453444 457025954 511793527 584906888 804246971 914051908 1023587054 1608493942 1828103816 2047174108 3216987884 4094348216 5629728797 6433975768 8846716681 11259457594 17693433362 22518915188 35386866724 45037830376 61927016767 70773733448 123854033534 247708067068 495416134136