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18871900240 = 2452332414201
BaseRepresentation
bin10001100100110110…
…100101100001010000
31210201012210212022011
4101210312211201100
5302122201301430
612400350152304
71235443335214
oct214466454120
953635725264
1018871900240
118004771a76
1237a81b2694
131a19a68b9b
14cb0550944
15756bd422a
hex464da5850

18871900240 has 80 divisors (see below), whose sum is σ = 44258859216. Its totient is φ = 7483392000.

The previous prime is 18871900237. The next prime is 18871900241. The reversal of 18871900240 is 4200917881.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2470487616 + 16401412624 = 49704^2 + 128068^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×188719002402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 18871900193 and 18871900202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18871900241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4490140 + ... + 4494340.

Almost surely, 218871900240 is an apocalyptic number.

18871900240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18871900240 is an abundant number, since it is smaller than the sum of its proper divisors (25386958976).

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

18871900240 is a wasteful number, since it uses less digits than its factorization.

18871900240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4688 (or 4682 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The spelling of 18871900240 in words is "eighteen billion, eight hundred seventy-one million, nine hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 233 241 466 482 932 964 1165 1205 1864 1928 2330 2410 3728 3856 4201 4660 4820 8402 9320 9640 16804 18640 19280 21005 33608 42010 56153 67216 84020 112306 168040 224612 280765 336080 449224 561530 898448 978833 1012441 1123060 1957666 2024882 2246120 3915332 4049764 4492240 4894165 5062205 7830664 8099528 9788330 10124410 15661328 16199056 19576660 20248820 39153320 40497640 78306640 80995280 235898753 471797506 943595012 1179493765 1887190024 2358987530 3774380048 4717975060 9435950120 18871900240