Search a number
-
+
18262123140 = 2235833667093
BaseRepresentation
bin10001000000100000…
…011110001010000100
31202010201101222101010
4101000200132022010
5244400100420030
612220044402220
71214360325342
oct210040361204
952121358333
1018262123140
117821546458
123657b46370
131950629031
14c53580992
1571d3d46b0
hex44081e284

18262123140 has 48 divisors (see below), whose sum is σ = 51750030528. Its totient is φ = 4811224704.

The previous prime is 18262123127. The next prime is 18262123147. The reversal of 18262123140 is 4132126281.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 18262123098 and 18262123107.

It is not an unprimeable number, because it can be changed into a prime (18262123147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1828567 + ... + 1838526.

It is an arithmetic number, because the mean of its divisors is an integer number (1078125636).

Almost surely, 218262123140 is an apocalyptic number.

18262123140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18262123140 is an abundant number, since it is smaller than the sum of its proper divisors (33487907388).

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

18262123140 is a wasteful number, since it uses less digits than its factorization.

18262123140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667188 (or 3667186 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

It can be divided in two parts, 182621 and 23140, that added together give a triangular number (205761 = T641).

The spelling of 18262123140 in words is "eighteen billion, two hundred sixty-two million, one hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 3667093 7334186 11001279 14668372 18335465 22002558 36670930 44005116 55006395 73341860 110012790 220025580 304368719 608737438 913106157 1217474876 1521843595 1826212314 3043687190 3652424628 4565530785 6087374380 9131061570 18262123140