Search a number
-
+
18190519452 = 22327174878719
BaseRepresentation
bin10000111100001111…
…010100110010011100
31201221201200010120200
4100330033110302130
5244223233110302
612205005543500
71212530602260
oct207417246234
951851603520
1018190519452
11779508a556
123637b74b90
13193b8485a1
14c47c620a0
15716e8d81c
hex43c3d4c9c

18190519452 has 144 divisors (see below), whose sum is σ = 55762237440. Its totient is φ = 4880964096.

The previous prime is 18190519447. The next prime is 18190519489. The reversal of 18190519452 is 25491509181.

18190519452 is a `hidden beast` number, since 1 + 8 + 1 + 90 + 519 + 45 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18190519398 and 18190519407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2081949 + ... + 2090667.

It is an arithmetic number, because the mean of its divisors is an integer number (387237760).

Almost surely, 218190519452 is an apocalyptic number.

18190519452 is a gapful number since it is divisible by the number (12) 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 18190519452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27881118720).

18190519452 is an abundant number, since it is smaller than the sum of its proper divisors (37571717988).

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

18190519452 is a wasteful number, since it uses less digits than its factorization.

18190519452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9240 (or 9235 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 18190519452 in words is "eighteen billion, one hundred ninety million, five hundred nineteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 487 612 714 974 1071 1428 1461 1948 2142 2922 3409 4284 4383 5844 6818 8279 8719 8766 10227 13636 16558 17438 17532 20454 24837 26157 30681 33116 34876 40908 49674 52314 57953 61033 61362 74511 78471 99348 104628 115906 122066 122724 148223 149022 156942 173859 183099 231812 244132 296446 298044 313884 347718 366198 444669 521577 549297 592892 695436 732396 889338 1037561 1043154 1098594 1334007 1778676 2075122 2086308 2197188 2668014 3112683 4150244 4246153 5336028 6225366 8492306 9338049 12450732 12738459 16984612 18676098 25476918 29723071 37352196 38215377 50953836 59446142 72184601 76430754 89169213 118892284 144369202 152861508 178338426 216553803 267507639 288738404 356676852 433107606 505292207 535015278 649661409 866215212 1010584414 1070030556 1299322818 1515876621 2021168828 2598645636 3031753242 4547629863 6063506484 9095259726 18190519452