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18714951024640 = 2175132196673
BaseRepresentation
bin1000100000101011010100…
…00000100000000000000000
32110021010120010002210112221
410100111222000200000000
54423111204430242030
6103445310234500424
73641052634660303
oct420255200400000
973233503083487
1018714951024640
115a65a69a56a62
1221230bb294714
13a59a73848750
14489b465c8b3a
15226c437ede7a
hex11056a020000

18714951024640 has 144 divisors (see below), whose sum is σ = 48370787840088. Its totient is φ = 6910132617216.

The previous prime is 18714951024589. The next prime is 18714951024643. The reversal of 18714951024640 is 4642015941781.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9910105473024 + 8804845551616 = 3148032^2 + 2967296^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (18714951024643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7421344 + ... + 9618016.

Almost surely, 218714951024640 is an apocalyptic number.

18714951024640 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 18714951024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24185393920044).

18714951024640 is an abundant number, since it is smaller than the sum of its proper divisors (29655836815448).

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

18714951024640 is an frugal number, since it uses more digits than its factorization.

18714951024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196725 (or 2196693 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 18714951024640 in words is "eighteen trillion, seven hundred fourteen billion, nine hundred fifty-one million, twenty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1024 1040 1280 1664 2048 2080 2560 3328 4096 4160 5120 6656 8192 8320 10240 13312 16384 16640 20480 26624 32768 33280 40960 53248 65536 66560 81920 106496 131072 133120 163840 212992 266240 327680 425984 532480 655360 851968 1064960 1703936 2129920 2196673 4259840 4393346 8519680 8786692 10983365 17573384 21966730 28556749 35146768 43933460 57113498 70293536 87866920 114226996 140587072 142783745 175733840 228453992 281174144 285567490 351467680 456907984 562348288 571134980 702935360 913815968 1124696576 1142269960 1405870720 1827631936 2249393152 2284539920 2811741440 3655263872 4498786304 4569079840 5623482880 7310527744 8997572608 9138159680 11246965760 14621055488 17995145216 18276319360 22493931520 29242110976 35990290432 36552638720 44987863040 58484221952 71980580864 73105277440 89975726080 116968443904 143961161728 146210554880 179951452160 233936887808 287922323456 292421109760 359902904320 467873775616 584842219520 719805808640 935747551232 1169684439040 1439611617280 1871495102464 2339368878080 3742990204928 4678737756160 9357475512320 18714951024640