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20382189120 = 263257077149
BaseRepresentation
bin10010111110110111…
…111000011001000000
31221121110200111011100
4102332313320121000
5313220320022440
613210301014400
71321042514616
oct227667703100
957543614140
1020382189120
11870a23a3a7
123b49b54400
131bca921347
14db4d716b6
157e45b2230
hex4bedf8640

20382189120 has 84 divisors (see below), whose sum is σ = 70106247900. Its totient is φ = 5435249664.

The previous prime is 20382189109. The next prime is 20382189131. The reversal of 20382189120 is 2198128302.

It is an interprime number because it is at equal distance from previous prime (20382189109) and next prime (20382189131).

It can be written as a sum of positive squares in 2 ways, for example, as 9796248576 + 10585940544 = 98976^2 + 102888^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3535695 + ... + 3541454.

Almost surely, 220382189120 is an apocalyptic number.

20382189120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20382189120 is an abundant number, since it is smaller than the sum of its proper divisors (49724058780).

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

20382189120 is a wasteful number, since it uses less digits than its factorization.

20382189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7077172 (or 7077159 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 20382189120 in words is "twenty billion, three hundred eighty-two million, one hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 7077149 14154298 21231447 28308596 35385745 42462894 56617192 63694341 70771490 84925788 106157235 113234384 127388682 141542980 169851576 212314470 226468768 254777364 283085960 318471705 339703152 424628940 452937536 509554728 566171920 636943410 679406304 849257880 1019109456 1132343840 1273886820 1358812608 1698515760 2038218912 2264687680 2547773640 3397031520 4076437824 5095547280 6794063040 10191094560 20382189120