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12152223888016 = 24149258492
BaseRepresentation
bin1011000011010110100011…
…1111001111001010010000
31121000202000101011211111211
42300311220333033022100
53043100223303404031
641502353220145504
72362653302504212
oct260655077171220
947022011154454
1012152223888016
113965802638a33
121443223238294
136a1c469156c4
143002568685b2
15161191d89bb1
hexb0d68fcf290

12152223888016 has 45 divisors (see below), whose sum is σ = 23708067361531. Its totient is φ = 6034300812032.

The previous prime is 12152223888011. The next prime is 12152223888089. The reversal of 12152223888016 is 61088832225121.

The square root of 12152223888016 is 3486004.

It is a perfect power (a square), and thus also a powerful number.

12152223888016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3889588617616 + 8262635270400 = 1972204^2 + 2874480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12152223888011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2077655460 + ... + 2077661308.

Almost surely, 212152223888016 is an apocalyptic number.

12152223888016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12152223888016 is the 3486004-th square number.

It is an amenable number.

12152223888016 is a deficient number, since it is larger than the sum of its proper divisors (11555843473515).

12152223888016 is an frugal number, since it uses more digits than its factorization.

12152223888016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12004 (or 6000 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 49.

Multiplying 12152223888016 by its sum of digits (49), we get a square (595458970512784 = 244020282).

The spelling of 12152223888016 in words is "twelve trillion, one hundred fifty-two billion, two hundred twenty-three million, eight hundred eighty-eight thousand, sixteen".

Divisors: 1 2 4 8 16 149 298 596 1192 2384 5849 11698 22201 23396 44402 46792 88804 93584 177608 355216 871501 1743002 3486004 6972008 13944016 34210801 68421602 129853649 136843204 259707298 273686408 519414596 547372816 1038829192 2077658384 5097409349 10194818698 20389637396 40779274792 81558549584 759513993001 1519027986002 3038055972004 6076111944008 12152223888016