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1918028385 = 3257133712659
BaseRepresentation
bin111001001010010…
…1100101001100001
311221200002221022100
41302110230221201
512412003402020
6514154001013
765346654330
oct16224545141
94850087270
101918028385
118a474a129
12456416169
132474a6750
14142a3bd17
15b35bea90
hex7252ca61

1918028385 has 96 divisors (see below), whose sum is σ = 4202714880. Its totient is φ = 787428864.

The previous prime is 1918028377. The next prime is 1918028389. The reversal of 1918028385 is 5838208191.

It is a happy number.

1918028385 is a `hidden beast` number, since 191 + 80 + 2 + 8 + 385 = 666.

It is not a de Polignac number, because 1918028385 - 23 = 1918028377 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1918028385.

It is not an unprimeable number, because it can be changed into a prime (1918028389) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145186 + ... + 157844.

It is an arithmetic number, because the mean of its divisors is an integer number (43778280).

Almost surely, 21918028385 is an apocalyptic number.

1918028385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1918028385 is an abundant number, since it is smaller than the sum of its proper divisors (2284686495).

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

1918028385 is a wasteful number, since it uses less digits than its factorization.

1918028385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12727 (or 12724 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 1918028385 is about 43795.3009465627. The cubic root of 1918028385 is about 1242.4674215204.

The spelling of 1918028385 in words is "one billion, nine hundred eighteen million, twenty-eight thousand, three hundred eighty-five".

Divisors: 1 3 5 7 9 13 15 21 35 37 39 45 63 65 91 105 111 117 185 195 259 273 315 333 455 481 555 585 777 819 1295 1365 1443 1665 2331 2405 3367 3885 4095 4329 7215 10101 11655 12659 16835 21645 30303 37977 50505 63295 88613 113931 151515 164567 189885 265839 443065 468383 493701 569655 797517 822835 1151969 1329195 1405149 1481103 2341915 2468505 3278681 3455907 3987585 4215447 5759845 6088979 7025745 7405515 9836043 10367721 16393405 17279535 18266937 21077235 29508129 30444895 42622853 49180215 51838605 54800811 91334685 127868559 147540645 213114265 274004055 383605677 639342795 1918028385