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18128357640 = 23325197255617
BaseRepresentation
bin10000111000100010…
…001100100100001000
31201210101200222121100
4100320202030210020
5244111324421030
612154505341400
71211144332431
oct207042144410
951711628540
1018128357640
117762a92458
12361b197860
13192b9c2653
14c3d8c0488
157117b0360
hex43888c908

18128357640 has 96 divisors (see below), whose sum is σ = 59216465880. Its totient is φ = 4809670656.

The previous prime is 18128357633. The next prime is 18128357647. The reversal of 18128357640 is 4675382181.

18128357640 is a `hidden beast` number, since 18 + 1 + 28 + 3 + 576 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (18128357633) and next prime (18128357647).

It can be written as a sum of positive squares in 4 ways, for example, as 13483389924 + 4644967716 = 116118^2 + 68154^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (18128357647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56889 + ... + 198728.

Almost surely, 218128357640 is an apocalyptic number.

18128357640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18128357640 is an abundant number, since it is smaller than the sum of its proper divisors (41088108240).

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

18128357640 is a wasteful number, since it uses less digits than its factorization.

18128357640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255831 (or 255824 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 18128357640 in words is "eighteen billion, one hundred twenty-eight million, three hundred fifty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 197 360 394 591 788 985 1182 1576 1773 1970 2364 2955 3546 3940 4728 5910 7092 7880 8865 11820 14184 17730 23640 35460 70920 255617 511234 766851 1022468 1278085 1533702 2044936 2300553 2556170 3067404 3834255 4601106 5112340 6134808 7668510 9202212 10224680 11502765 15337020 18404424 23005530 30674040 46011060 50356549 92022120 100713098 151069647 201426196 251782745 302139294 402852392 453208941 503565490 604278588 755348235 906417882 1007130980 1208557176 1510696470 1812835764 2014261960 2266044705 3021392940 3625671528 4532089410 6042785880 9064178820 18128357640