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355500545163102 = 232233775233084943
BaseRepresentation
bin101000011010100110110101…
…1101101100011111101011110
31201121201112001020020211211200
41100311031223231203331132
5333044010104030204402
63300030410150100330
7134611031625520563
oct12065155355437536
91647645036224750
10355500545163102
11a3300a30956689
1233a5647934a6a6
1312349732c75821
1463b046519a86a
152b175b960d21c
hex143536bb63f5e

355500545163102 has 96 divisors (see below), whose sum is σ = 825573068356608. Its totient is φ = 110269845056448.

The previous prime is 355500545163037. The next prime is 355500545163149. The reversal of 355500545163102 is 201361545005553.

355500545163102 is a `hidden beast` number, since 3 + 5 + 5 + 5 + 0 + 0 + 5 + 4 + 5 + 1 + 631 + 0 + 2 = 666.

It is a super-2 number, since 2×3555005451631022 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113694843 + ... + 116779785.

It is an arithmetic number, because the mean of its divisors is an integer number (8599719462048).

Almost surely, 2355500545163102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355500545163102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412786534178304).

355500545163102 is an abundant number, since it is smaller than the sum of its proper divisors (470072523193506).

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

355500545163102 is a wasteful number, since it uses less digits than its factorization.

355500545163102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092534 (or 3092531 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

The spelling of 355500545163102 in words is "three hundred fifty-five trillion, five hundred billion, five hundred forty-five million, one hundred sixty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 18 23 37 46 69 74 111 138 207 222 333 414 666 851 1702 2553 5106 7523 7659 15046 15318 22569 45138 67707 135414 173029 278351 346058 519087 556702 835053 1038174 1557261 1670106 2505159 3084943 3114522 5010318 6169886 6402073 9254829 12804146 18509658 19206219 27764487 38412438 55528974 57618657 70953689 114142891 115237314 141907378 212861067 228285782 342428673 425722134 638583201 684857346 1027286019 1277166402 2054572038 2625286493 5250572986 7875859479 15751718958 23208026189 23627578437 46416052378 47255156874 69624078567 139248157134 208872235701 417744471402 533784602347 858696968993 1067569204694 1601353807041 1717393937986 2576090906979 3202707614082 4804061421123 5152181813958 7728272720937 9608122842246 15456545441874 19750030286839 39500060573678 59250090860517 118500181721034 177750272581551 355500545163102