Search a number
-
+
18870872408478 = 23773364316223
BaseRepresentation
bin1000100101001101101111…
…01001011000000110011110
32110211001000112200210000000
410102212313221120012132
54433140021314032403
6104045054211115130
73655242544606266
oct422466751300636
973731015623000
1018870872408478
11601610156a462
122149374ba2aa6
13a6b691ac940c
144934d85627a6
1522ad1c1877a3
hex1129b7a5819e

18870872408478 has 128 divisors (see below), whose sum is σ = 43049005608960. Its totient is φ = 6202037087424.

The previous prime is 18870872408473. The next prime is 18870872408483. The reversal of 18870872408478 is 87480427807881.

18870872408478 is a `hidden beast` number, since 1 + 8 + 8 + 70 + 87 + 2 + 4 + 0 + 8 + 478 = 666.

It is an interprime number because it is at equal distance from previous prime (18870872408473) and next prime (18870872408483).

It is a super-2 number, since 2×188708724084782 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18870872408473) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1163209075 + ... + 1163225297.

It is an arithmetic number, because the mean of its divisors is an integer number (336320356320).

Almost surely, 218870872408478 is an apocalyptic number.

18870872408478 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18870872408478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21524502804480).

18870872408478 is an abundant number, since it is smaller than the sum of its proper divisors (24178133200482).

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

18870872408478 is an equidigital number, since it uses as much as digits as its factorization.

18870872408478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19962 (or 19944 counting only the distinct ones).

The product of its (nonzero) digits is 359661568, while the sum is 72.

The spelling of 18870872408478 in words is "eighteen trillion, eight hundred seventy billion, eight hundred seventy-two million, four hundred eight thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 243 438 486 657 729 1314 1458 1971 2187 3643 3942 4374 5913 7286 10929 11826 16223 17739 21858 32446 32787 35478 48669 53217 65574 97338 98361 106434 146007 159651 196722 265939 292014 295083 319302 438021 531878 590166 797817 876042 885249 1184279 1314063 1595634 1770498 2368558 2393451 2628126 2655747 3552837 3942189 4786902 5311494 7105674 7180353 7884378 7967241 10658511 11826567 14360706 15934482 21317022 21541059 23653134 31975533 35479701 43082118 59100389 63951066 64623177 70959402 95926599 118200778 129246354 177301167 191853198 193869531 287779797 354602334 387739062 531903501 575559594 581608593 863339391 1063807002 1163217186 1595710503 1726678782 2590018173 3191421006 4314328397 4787131509 5180036346 8628656794 9574263018 12942985191 14361394527 25885970382 28722789054 38828955573 43084183581 77657911146 86168367162 116486866719 129252550743 232973733438 258505101486 349460600157 698921200314 1048381800471 2096763600942 3145145401413 6290290802826 9435436204239 18870872408478