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18820275840 = 273253267409
BaseRepresentation
bin10001100001110001…
…101001111010000000
31210120121200001221100
4101201301221322000
5302020442311330
612351303454400
71234245463602
oct214161517200
953517601840
1018820275840
117a88611883
123792a57400
131a0c1622c2
14ca7753172
157523d8060
hex461c69e80

18820275840 has 96 divisors (see below), whose sum is σ = 64988784900. Its totient is φ = 5018738688.

The previous prime is 18820275839. The next prime is 18820275857. The reversal of 18820275840 is 4857202881.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18799700544 + 20575296 = 137112^2 + 4536^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 1627945 + ... + 1639464.

Almost surely, 218820275840 is an apocalyptic number.

18820275840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18820275840 is an abundant number, since it is smaller than the sum of its proper divisors (46168509060).

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

18820275840 is a wasteful number, since it uses less digits than its factorization.

18820275840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267434 (or 3267419 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 18820275840 in words is "eighteen billion, eight hundred twenty million, two hundred seventy-five thousand, eight hundred forty".

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 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 3267409 6534818 9802227 13069636 16337045 19604454 26139272 29406681 32674090 39208908 49011135 52278544 58813362 65348180 78417816 98022270 104557088 117626724 130696360 147033405 156835632 196044540 209114176 235253448 261392720 294066810 313671264 392089080 418228352 470506896 522785440 588133620 627342528 784178160 941013792 1045570880 1176267240 1254685056 1568356320 1882027584 2091141760 2352534480 3136712640 3764055168 4705068960 6273425280 9410137920 18820275840