Search a number
-
+
18642087750 = 23531113173819
BaseRepresentation
bin10001010111001001…
…111010111101000110
31210010012101011211110
4101113021322331012
5301134333302000
612321500345450
71226653063026
oct212711727506
953105334743
1018642087750
1179a6a774a0
123743245286
1319b1274070
14c8bc0ba86
1574193b850
hex45727af46

18642087750 has 128 divisors (see below), whose sum is σ = 54665694720. Its totient is φ = 4171632000.

The previous prime is 18642087743. The next prime is 18642087773. The reversal of 18642087750 is 5778024681.

It is a self number, because there is not a number n which added to its sum of digits gives 18642087750.

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 63 ways as a sum of consecutive naturals, for example, 20341 + ... + 194159.

It is an arithmetic number, because the mean of its divisors is an integer number (427075740).

Almost surely, 218642087750 is an apocalyptic number.

18642087750 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 18642087750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27332847360).

18642087750 is an abundant number, since it is smaller than the sum of its proper divisors (36023606970).

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

18642087750 is a wasteful number, since it uses less digits than its factorization.

18642087750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173863 (or 173853 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

It can be divided in two parts, 186420 and 87750, that added together give a triangular number (274170 = T740).

The spelling of 18642087750 in words is "eighteen billion, six hundred forty-two million, eighty-seven thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 11 13 15 22 25 26 30 33 39 50 55 65 66 75 78 110 125 130 143 150 165 195 250 275 286 325 330 375 390 429 550 650 715 750 825 858 975 1375 1430 1625 1650 1950 2145 2750 3250 3575 4125 4290 4875 7150 8250 9750 10725 17875 21450 35750 53625 107250 173819 347638 521457 869095 1042914 1738190 1912009 2259647 2607285 3824018 4345475 4519294 5214570 5736027 6778941 8690950 9560045 11298235 11472054 13036425 13557882 19120090 21727375 22596470 24856117 26072850 28680135 33894705 43454750 47800225 49712234 56491175 57360270 65182125 67789410 74568351 95600450 112982350 124280585 130364250 143400675 149136702 169473525 239001125 248561170 282455875 286801350 338947050 372841755 478002250 564911750 621402925 717003375 745683510 847367625 1242805850 1434006750 1694735250 1864208775 3107014625 3728417550 6214029250 9321043875 18642087750