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56205472134162 = 231317591487483139
BaseRepresentation
bin11001100011110010110110…
…01100110111010000010010
321101000012010222202201102010
430301321123030313100102
524331332301331243122
6315312234253203350
714560465665311241
oct1461713314672022
9241005128681363
1056205472134162
11169aa67482306a
126378bb6a90556
1325491cb9aa140
14dc450615a958
15677077684e0c
hex331e5b337412

56205472134162 has 128 divisors (see below), whose sum is σ = 130439451340800. Its totient is φ = 15990028010496.

The previous prime is 56205472134151. The next prime is 56205472134173. The reversal of 56205472134162 is 26143127450265.

It is a happy number.

56205472134162 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56205472134151) and next prime (56205472134173).

It is a super-2 number, since 2×562054721341622 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116092389 + ... + 116575527.

It is an arithmetic number, because the mean of its divisors is an integer number (1019058213600).

Almost surely, 256205472134162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56205472134162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65219725670400).

56205472134162 is an abundant number, since it is smaller than the sum of its proper divisors (74233979206638).

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

56205472134162 is a wasteful number, since it uses less digits than its factorization.

56205472134162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484720.

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 56205472134162 in words is "fifty-six trillion, two hundred five billion, four hundred seventy-two million, one hundred thirty-four thousand, one hundred sixty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 59 78 102 118 177 221 354 442 663 767 1003 1326 1487 1534 2006 2301 2974 3009 4461 4602 6018 8922 13039 19331 25279 26078 38662 39117 50558 57993 75837 78234 87733 115986 151674 175466 263199 328627 483139 526398 657254 966278 985881 1140529 1449417 1491461 1971762 2281058 2898834 2982922 3421587 4474383 6280807 6843174 8213363 8948766 12561614 16426726 18842421 19388993 24640089 28505201 37684842 38777986 49280178 57010402 58166979 85515603 106773719 116333958 171031206 213547438 320321157 370567613 484588417 640642314 718427693 741135226 969176834 1111702839 1436855386 1453765251 2155283079 2223405678 2907530502 4310566158 6299649421 9339560009 12213270781 12599298842 18679120018 18898948263 24426541562 28018680027 36639812343 37797896526 42387233887 56037360054 73279624686 84774467774 127161701661 158772520153 254323403322 317545040306 476317560459 551034040531 720582976079 952635120918 1102068081062 1441165952158 1653102121593 2161748928237 3306204243186 4323497856474 9367578689027 18735157378054 28102736067081 56205472134162