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500242212322407 = 321914967347996079
BaseRepresentation
bin111000110111101111011011…
…1010111011111110001100111
32102121012200120212210111020100
41301233132313113133301213
51011031432022323304112
64531532033320235143
7210240210233633142
oct16157366727376147
92377180525714210
10500242212322407
11135435592628635
124813236090bab3
131861883b1bc719
148b75bd0873059
153cc76abbac2dc
hex1c6f7b75dfc67

500242212322407 has 96 divisors (see below), whose sum is σ = 767130624000000. Its totient is φ = 313238895040512.

The previous prime is 500242212322387. The next prime is 500242212322417. The reversal of 500242212322407 is 704223212242005.

500242212322407 is a `hidden beast` number, since 5 + 0 + 0 + 2 + 4 + 2 + 212 + 32 + 2 + 407 = 666.

It is not a de Polignac number, because 500242212322407 - 242 = 495844165811303 is a prime.

It is a super-2 number, since 2×5002422123224072 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500242212322417) 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, 82290211194 + ... + 82290217272.

It is an arithmetic number, because the mean of its divisors is an integer number (7990944000000).

Almost surely, 2500242212322407 is an apocalyptic number.

500242212322407 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

500242212322407 is a deficient number, since it is larger than the sum of its proper divisors (266888411677593).

500242212322407 is a wasteful number, since it uses less digits than its factorization.

500242212322407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11725 (or 11722 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 500242212322407 in words is "five hundred trillion, two hundred forty-two billion, two hundred twelve million, three hundred twenty-two thousand, four hundred seven".

Divisors: 1 3 9 19 57 149 171 447 673 1341 2019 2831 4799 6057 6079 8493 12787 14397 18237 25479 38361 43191 54711 91181 100277 115083 115501 273543 300831 346503 715051 820629 902493 905771 1039509 1905263 2145153 2717313 3229727 4091167 5715789 6435459 8151939 9689181 12273501 13585969 17147367 17209649 29067543 29173121 36820503 40757907 51628947 61364813 77732173 87519363 122273721 154886841 184094439 233196519 262558089 481229323 552283317 554289299 609583883 699589557 1443687969 1662867897 1828751649 4331063907 4346795029 4988603691 5486254947 9143357137 11582093777 13040385087 19633510433 27430071411 34746281331 39121155261 58900531299 82290214233 82589105551 104238843993 176701593897 247767316653 373036698227 743301949959 1119110094681 2925393054517 3357330284043 8776179163551 26328537490653 55582468035823 166747404107469 500242212322407