Search a number
-
+
1552755241216 = 2819240992
BaseRepresentation
bin10110100110000111011…
…011001011000100000000
312111102221011221001202101
4112212013123023010000
5200420020320204331
63145154221400144
7220116502531354
oct26460733130400
95442834831671
101552755241216
115495799429a3
12210b26709054
13b3568c4197a
1455221c8d464
152a5cda87061
hex169876cb100

1552755241216 has 81 divisors (see below), whose sum is σ = 3271957671591. Its totient is φ = 735336202752.

The previous prime is 1552755241201. The next prime is 1552755241223. The reversal of 1552755241216 is 6121425572551.

The square root of 1552755241216 is 1246096.

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

It is a super-2 number, since 2×15527552412162 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 378811135 + ... + 378815233.

Almost surely, 21552755241216 is an apocalyptic number.

1552755241216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1552755241216 is the 1246096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1552755241216

1552755241216 is an abundant number, since it is smaller than the sum of its proper divisors (1719202430375).

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

1552755241216 is an frugal number, since it uses more digits than its factorization.

1552755241216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8252 (or 4120 counting only the distinct ones).

The product of its digits is 840000, while the sum is 46.

It can be divided in two parts, 1552755 and 241216, that added together give a palindrome (1793971).

The spelling of 1552755241216 in words is "one trillion, five hundred fifty-two billion, seven hundred fifty-five million, two hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 608 722 1216 1444 2432 2888 4099 4864 5776 8198 11552 16396 23104 32792 46208 65584 77881 92416 131168 155762 262336 311524 524672 623048 1049344 1246096 1479739 2492192 2959478 4984384 5918956 9968768 11837912 16801801 19937536 23675824 33603602 47351648 67207204 94703296 134414408 189406592 268828816 319234219 378813184 537657632 638468438 1075315264 1276936876 2150630528 2553873752 4301261056 5107747504 6065450161 10215495008 12130900322 20430990016 24261800644 40861980032 48523601288 81723960064 97047202576 194094405152 388188810304 776377620608 1552755241216