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55618680283920 = 24325135942166697
BaseRepresentation
bin11001010010101101110111…
…01011100110001100010000
321021221002112110101012011200
430221112323223212030100
524242224024123041140
6314142511411311200
714500213514010405
oct1451267353461420
9237832473335150
1055618680283920
11167a3828053a16
1262a33335ab500
132505a855a0280
14da3d5c1462ac
15666b82183030
hex3295bbae6310

55618680283920 has 120 divisors (see below), whose sum is σ = 201154227060696. Its totient is φ = 13690752067584.

The previous prime is 55618680283897. The next prime is 55618680283921. The reversal of 55618680283920 is 2938208681655.

55618680283920 is a `hidden beast` number, since 5 + 5 + 618 + 6 + 8 + 0 + 2 + 8 + 3 + 9 + 2 + 0 = 666.

55618680283920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1220857045776 + 54397823238144 = 1104924^2 + 7375488^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×556186802839202 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55618680283921) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2971073989 + ... + 2971092708.

Almost surely, 255618680283920 is an apocalyptic number.

It is an amenable number.

55618680283920 is an abundant number, since it is smaller than the sum of its proper divisors (145535546776776).

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

55618680283920 is a wasteful number, since it uses less digits than its factorization.

55618680283920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5942166729 (or 5942166720 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 55618680283920 in words is "fifty-five trillion, six hundred eighteen billion, six hundred eighty million, two hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 5942166697 11884333394 17826500091 23768666788 29710833485 35653000182 47537333576 53479500273 59421666970 71306000364 77248167061 89132500455 95074667152 106959000546 118843333940 142612000728 154496334122 178265000910 213918001092 231744501183 237686667880 267397501365 285224001456 308992668244 356530001820 386240835305 427836002184 463489002366 475373335760 534795002730 617985336488 695233503549 713060003640 772481670610 855672004368 926978004732 1069590005460 1158722505915 1235970672976 1390467007098 1426120007280 1544963341220 1853956009464 2139180010920 2317445011830 2780934014196 3089926682440 3476167517745 3707912018928 4278360021840 4634890023660 5561868028392 6179853364880 6952335035490 9269780047320 11123736056784 13904670070980 18539560094640 27809340141960 55618680283920