Search a number
-
+
18420517271550 = 23523723331422637
BaseRepresentation
bin1000011000000110111000…
…11000110111011111111110
32102012222120112001102002210
410030003130120313133332
54403300204410142200
6103102134021401250
73610560406242012
oct414033430673776
972188515042083
1018420517271550
115962108861419
122096029b69226
13a3807cc86c84
144797b4826542
1521e25eb48650
hex10c0dc6377fe

18420517271550 has 96 divisors (see below), whose sum is σ = 46937698732512. Its totient is φ = 4777325498880.

The previous prime is 18420517271549. The next prime is 18420517271579. The reversal of 18420517271550 is 5517271502481.

It is a self number, because there is not a number n which added to its sum of digits gives 18420517271550.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12236832 + ... + 13659468.

It is an arithmetic number, because the mean of its divisors is an integer number (488934361797).

Almost surely, 218420517271550 is an apocalyptic number.

18420517271550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18420517271550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23468849366256).

18420517271550 is an abundant number, since it is smaller than the sum of its proper divisors (28517181460962).

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

18420517271550 is a wasteful number, since it uses less digits than its factorization.

18420517271550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425022 (or 1425017 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 48.

The spelling of 18420517271550 in words is "eighteen trillion, four hundred twenty billion, five hundred seventeen million, two hundred seventy-one thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 74 75 111 150 185 222 370 555 925 1110 1850 2333 2775 4666 5550 6999 11665 13998 23330 34995 58325 69990 86321 116650 172642 174975 258963 349950 431605 517926 863210 1294815 1422637 2158025 2589630 2845274 4267911 4316050 6474075 7113185 8535822 12948150 14226370 21339555 35565925 42679110 52637569 71131850 105275138 106697775 157912707 213395550 263187845 315825414 526375690 789563535 1315939225 1579127070 2631878450 3319012121 3947817675 6638024242 7895635350 9957036363 16595060605 19914072726 33190121210 49785181815 82975303025 99570363630 122803448477 165950606050 245606896954 248925909075 368410345431 497851818150 614017242385 736820690862 1228034484770 1842051727155 3070086211925 3684103454310 6140172423850 9210258635775 18420517271550