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502106216450406 = 231927692011149899
BaseRepresentation
bin111001000101010011011011…
…0101010111100100101100110
32102211210212220112102020110020
41302022212312222330211212
51011303002012402403111
64535520224513540010
7210521656055410401
oct16212466652744546
92384725815366406
10502106216450406
11135a94061338977
124839366bb74606
131872254a5ca3c9
148bdc0db800d38
153d0ae05756906
hex1c8a9b6abc966

502106216450406 has 96 divisors (see below), whose sum is σ = 1061760479472000. Its totient is φ = 158273868533760.

The previous prime is 502106216450339. The next prime is 502106216450407. The reversal of 502106216450406 is 604054612601205.

It is a super-2 number, since 2×5021062164504062 (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 (502106216450407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3349555245 + ... + 3349705143.

It is an arithmetic number, because the mean of its divisors is an integer number (11060004994500).

Almost surely, 2502106216450406 is an apocalyptic number.

502106216450406 is an abundant number, since it is smaller than the sum of its proper divisors (559654263021594).

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

502106216450406 is a wasteful number, since it uses less digits than its factorization.

502106216450406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152722 (or 152703 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 502106216450406 in words is "five hundred two trillion, one hundred six billion, two hundred sixteen million, four hundred fifty thousand, four hundred six".

Divisors: 1 2 3 6 19 38 57 114 361 722 769 1083 1538 2011 2166 2307 4022 4614 6033 12066 14611 29222 38209 43833 76418 87666 114627 149899 229254 277609 299798 449697 555218 725971 832827 899394 1451942 1546459 1665654 2177913 2848081 3092918 4355826 4639377 5696162 8544243 9278754 17088486 29382721 54113539 58765442 88148163 108227078 115272331 162340617 176296326 230544662 301446889 324681234 345816993 558271699 602893778 691633986 904340667 1116543398 1674815097 1808681334 2190174289 3349630194 4380348578 5727490891 6570522867 11454981782 13141045734 17182472673 34364945346 41613311491 83226622982 108822326929 124839934473 217644653858 231812657641 249679868946 326466980787 463625315282 652933961574 695437972923 1390875945846 4404440495179 8808880990358 13213321485537 26426642971074 83684369408401 167368738816802 251053108225203 502106216450406