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20144348183790 = 2345171798172713
BaseRepresentation
bin1001001010010001110001…
…01101111011110011101110
32122022210002021001000020000
410211020320231323303232
510120021111113340130
6110502104044405130
74146244504235565
oct445107055736356
978283067030200
1020144348183790
116467196429aa6
1223141395467a6
13b317b0965a3c
144d8dc5156bdc
1524e0026a8260
hex125238b7bcee

20144348183790 has 160 divisors (see below), whose sum is σ = 57672554338080. Its totient is φ = 5027590895616.

The previous prime is 20144348183761. The next prime is 20144348183851. The reversal of 20144348183790 is 9738184344102.

20144348183790 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 43 + 481 + 8 + 37 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1621527 + ... + 6551186.

It is an arithmetic number, because the mean of its divisors is an integer number (360453464613).

Almost surely, 220144348183790 is an apocalyptic number.

20144348183790 is an abundant number, since it is smaller than the sum of its proper divisors (37528206154290).

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

20144348183790 is a wasteful number, since it uses less digits than its factorization.

20144348183790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8172928 (or 8172919 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 20144348183790 in words is "twenty trillion, one hundred forty-four billion, three hundred forty-eight million, one hundred eighty-three thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 179 255 270 306 358 405 459 510 537 765 810 895 918 1074 1377 1530 1611 1790 2295 2685 2754 3043 3222 4590 4833 5370 6086 6885 8055 9129 9666 13770 14499 15215 16110 18258 24165 27387 28998 30430 45645 48330 54774 72495 82161 91290 136935 144990 164322 246483 273870 410805 492966 821610 1232415 2464830 8172713 16345426 24518139 40863565 49036278 73554417 81727130 122590695 138936121 147108834 220663251 245181390 277872242 367772085 416808363 441326502 661989753 694680605 735544170 833616726 1103316255 1250425089 1323979506 1389361210 1462915627 2084041815 2206632510 2500850178 2925831254 3309948765 3751275267 4168083630 4388746881 6252125445 6619897530 7314578135 7502550534 8777493762 11253825801 12504250890 13166240643 14629156270 18756376335 21943734405 22507651602 24869565659 26332481286 37512752670 39498721929 43887468810 49739131318 56269129005 65831203215 74608696977 78997443858 112538258010 118496165787 124347828295 131662406430 149217393954 197493609645 223826090931 236992331574 248695656590 373043484885 394987219290 447652181862 592480828935 671478272793 746086969770 1119130454655 1184961657870 1342956545586 2014434818379 2238260909310 3357391363965 4028869636758 6714782727930 10072174091895 20144348183790