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1152196147216 = 24127221132
BaseRepresentation
bin10000110001000100001…
…111011111100000010000
311002011000112022202222101
4100301010033133200100
5122334144203202331
62241151150050144
7146146331441602
oct20610417374020
94064015282871
101152196147216
11404709761a44
121673781a9954
138486182aa9a
143daa3751172
151ee88051061
hex10c443df810

1152196147216 has 45 divisors (see below), whose sum is σ = 2251161624861. Its totient is φ = 571291370496.

The previous prime is 1152196147213. The next prime is 1152196147229. The reversal of 1152196147216 is 6127416912511.

The square root of 1152196147216 is 1073404.

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

It can be written as a sum of positive squares in only one way, i.e., 1090320400 + 1151105826816 = 33020^2 + 1072896^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1152196147213) 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, 545288176 + ... + 545290288.

Almost surely, 21152196147216 is an apocalyptic number.

1152196147216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1152196147216 is the 1073404-th square number.

It is an amenable number.

1152196147216 is a deficient number, since it is larger than the sum of its proper divisors (1098965477645).

1152196147216 is an frugal number, since it uses more digits than its factorization.

1152196147216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4488 (or 2242 counting only the distinct ones).

The product of its digits is 181440, while the sum is 46.

The spelling of 1152196147216 in words is "one trillion, one hundred fifty-two billion, one hundred ninety-six million, one hundred forty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 127 254 508 1016 2032 2113 4226 8452 16129 16904 32258 33808 64516 129032 258064 268351 536702 1073404 2146808 4293616 4464769 8929538 17859076 34080577 35718152 68161154 71436304 136322308 272644616 545289232 567025663 1134051326 2268102652 4536205304 9072410608 72012259201 144024518402 288049036804 576098073608 1152196147216