Search a number
-
+
553355551023431 = 13531889942495821
BaseRepresentation
bin111110111010001100010000…
…1000011011010000101000111
32200120021021101202222120222212
41331310120201003122011013
51040012134132030222211
65240520010351014035
7224361422255602142
oct17564304103320507
92616237352876885
10553355551023431
1115035285366aa52
125209001a50a31b
131a99c287552010
149a907a1729059
1543e90ab30338b
hex1f746210da147

553355551023431 has 16 divisors (see below), whose sum is σ = 607197303064800. Its totient is φ = 501125667968640.

The previous prime is 553355551023421. The next prime is 553355551023551. The reversal of 553355551023431 is 134320155553355.

It is a happy number.

It is not a de Polignac number, because 553355551023431 - 26 = 553355551023367 is a prime.

It is a super-3 number, since 3×5533555510234313 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 553355551023431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553355551023421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8226500 + ... + 34269321.

It is an arithmetic number, because the mean of its divisors is an integer number (37949831441550).

Almost surely, 2553355551023431 is an apocalyptic number.

553355551023431 is a deficient number, since it is larger than the sum of its proper divisors (53841752041369).

553355551023431 is a wasteful number, since it uses less digits than its factorization.

553355551023431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42514786.

The product of its (nonzero) digits is 10125000, while the sum is 50.

The spelling of 553355551023431 in words is "five hundred fifty-three trillion, three hundred fifty-five billion, five hundred fifty-one million, twenty-three thousand, four hundred thirty-one".

Divisors: 1 13 53 689 18899 245687 1001647 13021411 42495821 552445673 2252278513 29279620669 803128521079 10440670774027 42565811617187 553355551023431