Search a number
-
+
18211454040 = 233513109107101
BaseRepresentation
bin10000111101011111…
…001011110001011000
31202000012001201102210
4100331133023301120
5244244113012130
612211034355120
71213203543123
oct207537136130
952005051383
1018211454040
1177a5988a6a
123642b8baa0
131942c98210
14c4a9513ba
15718c265b0
hex43d7cbc58

18211454040 has 128 divisors (see below), whose sum is σ = 59377348800. Its totient is φ = 4441651200.

The previous prime is 18211454033. The next prime is 18211454059. The reversal of 18211454040 is 4045411281.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 18211453989 and 18211454007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116490 + ... + 223590.

Almost surely, 218211454040 is an apocalyptic number.

18211454040 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 18211454040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29688674400).

18211454040 is an abundant number, since it is smaller than the sum of its proper divisors (41165894760).

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

18211454040 is a wasteful number, since it uses less digits than its factorization.

18211454040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107237 (or 107233 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 18211454040 in words is "eighteen billion, two hundred eleven million, four hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 109 120 130 156 195 218 260 312 327 390 436 520 545 654 780 872 1090 1308 1417 1560 1635 2180 2616 2834 3270 4251 4360 5668 6540 7085 8502 11336 13080 14170 17004 21255 28340 34008 42510 56680 85020 107101 170040 214202 321303 428404 535505 642606 856808 1071010 1285212 1392313 1606515 2142020 2570424 2784626 3213030 4176939 4284040 5569252 6426060 6961565 8353878 11138504 11674009 12852120 13923130 16707756 20884695 23348018 27846260 33415512 35022027 41769390 46696036 55692520 58370045 70044054 83538780 93392072 116740090 140088108 151762117 167077560 175110135 233480180 280176216 303524234 350220270 455286351 466960360 607048468 700440540 758810585 910572702 1214096936 1400881080 1517621170 1821145404 2276431755 3035242340 3642290808 4552863510 6070484680 9105727020 18211454040