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19471316611120 = 24511174333005909
BaseRepresentation
bin1000110110101100001001…
…11010001111000000110000
32112221102212112101122221221
410123112010322033000300
510023004224023023440
6105224555510154424
74046520243246613
oct433260472170060
975842775348857
1019471316611120
116227814679a80
122225808652a14
13ab31a27a390a
144b45b97d617a
1523b760eead4a
hex11b584e8f030

19471316611120 has 160 divisors (see below), whose sum is σ = 52412201029440. Its totient is φ = 6648587550720.

The previous prime is 19471316611111. The next prime is 19471316611147. The reversal of 19471316611120 is 2111661317491.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4974726 + ... + 7980634.

It is an arithmetic number, because the mean of its divisors is an integer number (327576256434).

Almost surely, 219471316611120 is an apocalyptic number.

19471316611120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19471316611120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26206100514720).

19471316611120 is an abundant number, since it is smaller than the sum of its proper divisors (32940884418320).

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

19471316611120 is a wasteful number, since it uses less digits than its factorization.

19471316611120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006383 (or 3006377 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 43.

The spelling of 19471316611120 in words is "nineteen trillion, four hundred seventy-one billion, three hundred sixteen million, six hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 433 440 680 748 866 880 935 1360 1496 1732 1870 2165 2992 3464 3740 4330 4763 6928 7361 7480 8660 9526 14722 14960 17320 19052 23815 29444 34640 36805 38104 47630 58888 73610 76208 80971 95260 117776 147220 161942 190520 294440 323884 381040 404855 588880 647768 809710 1295536 1619420 3005909 3238840 6011818 6477680 12023636 15029545 24047272 30059090 33064999 48094544 51100453 60118180 66129998 102200906 120236360 132259996 165324995 204401812 240472720 255502265 264519992 330649990 408803624 511004530 529039984 562104983 661299980 817607248 1022009060 1124209966 1301558597 1322599960 2044018120 2248419932 2603117194 2645199920 2810524915 4088036240 4496839864 5206234388 5621049830 6507792985 8993679728 10412468776 11242099660 13015585970 14317144567 20824937552 22126496149 22484199320 26031171940 28634289134 44252992298 44968398640 52062343880 57268578268 71585722835 88505984596 104124687760 110632480745 114537156536 143171445670 177011969192 221264961490 229074313072 243391457639 286342891340 354023938384 442529922980 486782915278 572685782680 885059845960 973565830556 1145371565360 1216957288195 1770119691920 1947131661112 2433914576390 3894263322224 4867829152780 9735658305560 19471316611120