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254404400052 = 223113752089353
BaseRepresentation
bin1110110011101110101…
…1110001001110110100
3220022122212202120011010
43230323223301032310
513132010011300202
6312512145112220
724244243502145
oct3547353611664
9808585676133
10254404400052
119898a7191a0
124137b628670
131acb470287a
14c455753acc
15693e82176c
hex3b3baf13b4

254404400052 has 48 divisors (see below), whose sum is σ = 665076871872. Its totient is φ = 75008666880.

The previous prime is 254404400039. The next prime is 254404400059. The reversal of 254404400052 is 250004404452.

It is a junction number, because it is equal to n+sod(n) for n = 254404399992 and 254404400019.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254404400059) 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, 26039793 + ... + 26049560.

It is an arithmetic number, because the mean of its divisors is an integer number (13855768164).

Almost surely, 2254404400052 is an apocalyptic number.

254404400052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

254404400052 is an abundant number, since it is smaller than the sum of its proper divisors (410672471820).

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

254404400052 is a wasteful number, since it uses less digits than its factorization.

254404400052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52089408 (or 52089406 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

It can be divided in two parts, 254404 and 400052, that added together give a palindrome (654456).

The spelling of 254404400052 in words is "two hundred fifty-four billion, four hundred four million, four hundred thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 52089353 104178706 156268059 208357412 312536118 572982883 625072236 1145965766 1718948649 1927306061 2291931532 3437897298 3854612122 5781918183 6875794596 7709224244 11563836366 21200366671 23127672732 42400733342 63601100013 84801466684 127202200026 254404400052