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505135231010136 = 233225747407575837
BaseRepresentation
bin111001011011010101111011…
…0000000100000010101011000
32110020112110022202200212100200
41302312223312000200111120
51012202113423114311021
64550155531020102200
7211253546631352566
oct16266536600402530
92406473282625320
10505135231010136
11136a51715069831
12487a2712994960
13188b20812b233c
148ca4965d04a36
153d5ead731c126
hex1cb6af6020558

505135231010136 has 96 divisors (see below), whose sum is σ = 1373429186850240. Its totient is φ = 167719412219904.

The previous prime is 505135231010071. The next prime is 505135231010149. The reversal of 505135231010136 is 631010132531505.

505135231010136 is a `hidden beast` number, since 5 + 0 + 5 + 13 + 523 + 10 + 101 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 505135231010136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 876931210 + ... + 877507046.

It is an arithmetic number, because the mean of its divisors is an integer number (14306554029690).

Almost surely, 2505135231010136 is an apocalyptic number.

It is an amenable number.

505135231010136 is an abundant number, since it is smaller than the sum of its proper divisors (868293955840104).

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

505135231010136 is a wasteful number, since it uses less digits than its factorization.

505135231010136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623513 (or 623506 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 505135231010136 in words is "five hundred five trillion, one hundred thirty-five billion, two hundred thirty-one million, ten thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 257 514 771 1028 1542 2056 2313 3084 4626 6168 9252 18504 47407 94814 142221 189628 284442 379256 426663 568884 575837 853326 1137768 1151674 1706652 1727511 2303348 3413304 3455022 4606696 5182533 6910044 10365066 12183599 13820088 20730132 24367198 36550797 41460264 48734396 73101594 97468792 109652391 146203188 147990109 219304782 292406376 295980218 438609564 443970327 591960436 877219128 887940654 1183920872 1331910981 1775881308 2663821962 3551762616 5327643924 10655287848 27298704659 54597409318 81896113977 109194818636 163792227954 218389637272 245688341931 327584455908 491376683862 655168911816 982753367724 1965506735448 7015767097363 14031534194726 21047301292089 28063068389452 42094602584178 56126136778904 63141903876267 84189205168356 126283807752534 168378410336712 252567615505068 505135231010136