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18955574440 = 23511219792
BaseRepresentation
bin10001101001110101…
…110001110010101000
31210221001020221201121
4101221311301302220
5302310111340230
612412535425024
71240510503265
oct215165616250
953831227647
1018955574440
118047a22700
123810225174
131a311b474a
14cbb6d226c
1575e21177a
hex469d71ca8

18955574440 has 72 divisors (see below), whose sum is σ = 46903499370. Its totient is φ = 6889453120.

The previous prime is 18955574431. The next prime is 18955574507. The reversal of 18955574440 is 4447555981.

It can be written as a sum of positive squares in only one way, i.e., 17060016996 + 1895557444 = 130614^2 + 43538^2 .

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 17 ways as a sum of consecutive naturals, for example, 9577371 + ... + 9579349.

Almost surely, 218955574440 is an apocalyptic number.

18955574440 is a gapful number since it is divisible by the number (10) 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 18955574440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23451749685).

18955574440 is an abundant number, since it is smaller than the sum of its proper divisors (27947924930).

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

18955574440 is an equidigital number, since it uses as much as digits as its factorization.

18955574440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3991 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 52.

It can be divided in two parts, 18955 and 574440, that added together give a palindrome (593395).

The spelling of 18955574440 in words is "eighteen billion, nine hundred fifty-five million, five hundred seventy-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 1979 2420 3958 4840 7916 9895 15832 19790 21769 39580 43538 79160 87076 108845 174152 217690 239459 435380 478918 870760 957836 1197295 1915672 2394590 3916441 4789180 7832882 9578360 15665764 19582205 31331528 39164410 43080851 78328820 86161702 156657640 172323404 215404255 344646808 430808510 473889361 861617020 947778722 1723234040 1895557444 2369446805 3791114888 4738893610 9477787220 18955574440