Search a number
-
+
553939321441 = 11461512
BaseRepresentation
bin10000000111110010101…
…10110100001001100001
31221221210222120010222111
420003321112310021201
533033431431241231
61102250510035321
755010063354302
oct10037126641141
91857728503874
10553939321441
111a3a19340000
128b4351a8b41
134030c08541c
141cb4cbd07a9
15e6212644b1
hex80f95b4261

553939321441 has 15 divisors (see below), whose sum is σ = 609428548065. Its totient is φ = 503499331500.

The previous prime is 553939321433. The next prime is 553939321493. The reversal of 553939321441 is 144123939355.

The square root of 553939321441 is 744271.

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

It is not a de Polignac number, because 553939321441 - 23 = 553939321433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (553939721441) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 90053716 + ... + 90059866.

It is an arithmetic number, because the mean of its divisors is an integer number (40628569871).

Almost surely, 2553939321441 is an apocalyptic number.

553939321441 is the 744271-st square number.

553939321441 is the 372136-th centered octagonal number.

It is an amenable number.

553939321441 is a deficient number, since it is larger than the sum of its proper divisors (55489226624).

553939321441 is an frugal number, since it uses more digits than its factorization.

553939321441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12346 (or 6162 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 49.

Multiplying 553939321441 by its sum of digits (49), we get a square (27143026750609 = 52098972).

The spelling of 553939321441 in words is "five hundred fifty-three billion, nine hundred thirty-nine million, three hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 11 121 1331 6151 14641 67661 744271 8186981 37834801 90056791 416182811 4578010921 50358120131 553939321441