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18379406052 = 2232772934151
BaseRepresentation
bin10001000111011111…
…110111101011100100
31202102220002120021200
4101013133313223210
5300120111443202
612235434242500
71220313242130
oct210737675344
952386076250
1018379406052
117881771887
12368b286430
13196ba112c7
14c64d903c0
1572884ee1c
hex4477f7ae4

18379406052 has 36 divisors (see below), whose sum is σ = 53096062656. Its totient is φ = 5251258800.

The previous prime is 18379406033. The next prime is 18379406069. The reversal of 18379406052 is 25060497381.

18379406052 is a `hidden beast` number, since 1 + 8 + 37 + 9 + 4 + 0 + 605 + 2 = 666.

18379406052 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 18379405989 and 18379406007.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36466824 + ... + 36467327.

It is a 1-persistent number, because it is pandigital, but 2⋅18379406052 = 36758812104 is not.

Almost surely, 218379406052 is an apocalyptic number.

18379406052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18379406052 is an abundant number, since it is smaller than the sum of its proper divisors (34716656604).

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

18379406052 is a wasteful number, since it uses less digits than its factorization.

18379406052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72934168 (or 72934163 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 18379406052 in words is "eighteen billion, three hundred seventy-nine million, four hundred six thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 72934151 145868302 218802453 291736604 437604906 510539057 656407359 875209812 1021078114 1312814718 1531617171 2042156228 2625629436 3063234342 4594851513 6126468684 9189703026 18379406052