Search a number
-
+
87438181662 = 232132753135731
BaseRepresentation
bin101000101101110111…
…0001100010100011110
322100200201100212000200
41101123232030110132
52413033133303122
6104100223404330
76213541165266
oct1213356142436
9270621325020
1087438181662
113409a635057
1214b42a536a6
13832615a340
1443369987a6
15241b4de5ac
hex145bb8c51e

87438181662 has 48 divisors (see below), whose sum is σ = 204098036688. Its totient is φ = 26894085120.

The previous prime is 87438181651. The next prime is 87438181693. The reversal of 87438181662 is 26618183478.

It is a super-2 number, since 2×874381816622 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87438181599 and 87438181608.

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 23 ways as a sum of consecutive naturals, for example, 576337 + ... + 712067.

It is an arithmetic number, because the mean of its divisors is an integer number (4252042431).

Almost surely, 287438181662 is an apocalyptic number.

87438181662 is an abundant number, since it is smaller than the sum of its proper divisors (116659855026).

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

87438181662 is a wasteful number, since it uses less digits than its factorization.

87438181662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138505 (or 138502 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 87438181662 in words is "eighty-seven billion, four hundred thirty-eight million, one hundred eighty-one thousand, six hundred sixty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 2753 5506 8259 16518 24777 35789 49554 71578 107367 135731 214734 271462 322101 407193 644202 814386 1221579 1764503 2443158 3529006 5293509 10587018 15880527 31761054 373667443 747334886 1121002329 2242004658 3363006987 4857676759 6726013974 9715353518 14573030277 29146060554 43719090831 87438181662