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18884255712 = 2537121323167
BaseRepresentation
bin10001100101100101…
…101101111111100000
31210202002001120211020
4101211211231333200
5302133332140322
612401511045440
71235653345050
oct214545557740
953662046736
1018884255712
118010740903
1237b0370880
131a1c4a390a
14cb2049560
15757d2505c
hex46596dfe0

18884255712 has 96 divisors (see below), whose sum is σ = 56701919232. Its totient is φ = 5390820864.

The previous prime is 18884255701. The next prime is 18884255713. The reversal of 18884255712 is 21755248881.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×188842557122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18884255713) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 803553 + ... + 826719.

It is an arithmetic number, because the mean of its divisors is an integer number (590644992).

Almost surely, 218884255712 is an apocalyptic number.

18884255712 is a gapful number since it is divisible by the number (12) 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 18884255712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28350959616).

18884255712 is an abundant number, since it is smaller than the sum of its proper divisors (37817663520).

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

18884255712 is a wasteful number, since it uses less digits than its factorization.

18884255712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24400 (or 24392 counting only the distinct ones).

The product of its digits is 1433600, while the sum is 51.

The spelling of 18884255712 in words is "eighteen billion, eight hundred eighty-four million, two hundred fifty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1213 2426 3639 4852 7278 8491 9704 14556 16982 19408 23167 25473 29112 33964 38816 46334 50946 58224 67928 69501 92668 101892 116448 135856 139002 162169 185336 203784 271712 278004 324338 370672 407568 486507 556008 648676 741344 815136 973014 1112016 1297352 1946028 2224032 2594704 3892056 5189408 7784112 15568224 28101571 56203142 84304713 112406284 168609426 196710997 224812568 337218852 393421994 449625136 590132991 674437704 786843988 899250272 1180265982 1348875408 1573687976 2360531964 2697750816 3147375952 4721063928 6294751904 9442127856 18884255712