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254544342404420 = 225174146681156601
BaseRepresentation
bin111001111000000110111001…
…000110111100110101000100
31020101021012102212202021101202
4321320012321012330311010
5231330423303123420140
62301212020115442032
7104421136045116425
oct7170067106746504
91211235385667352
10254544342404420
117411871636a222
12246704952b6318
13ac05575526173
1446c002496364c
151e66438632915
hexe781b91bcd44

254544342404420 has 48 divisors (see below), whose sum is σ = 534865024280496. Its totient is φ = 101756424960000.

The previous prime is 254544342404399. The next prime is 254544342404447. The reversal of 254544342404420 is 24404243445452.

254544342404420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 16179830477056 + 238364511927364 = 4022416^2 + 15439058^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1625354120 + ... + 1625510720.

It is an arithmetic number, because the mean of its divisors is an integer number (11143021339177).

Almost surely, 2254544342404420 is an apocalyptic number.

254544342404420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254544342404420 is an abundant number, since it is smaller than the sum of its proper divisors (280320681876076).

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

254544342404420 is a wasteful number, since it uses less digits than its factorization.

254544342404420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205032 (or 205030 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 47.

Adding to 254544342404420 its reverse (24404243445452), we get a palindrome (278948585849872).

The spelling of 254544342404420 in words is "two hundred fifty-four trillion, five hundred forty-four billion, three hundred forty-two million, four hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1741 3482 6964 8705 17410 34820 46681 93362 156601 186724 233405 313202 466810 626404 783005 933620 1566010 3132020 81271621 162543242 272642341 325086484 406358105 545284682 812716210 1090569364 1363211705 1625432420 2726423410 5452846820 7310291281 14620582562 29241165124 36551456405 73102912810 146205825620 12727217120221 25454434240442 50908868480884 63636085601105 127272171202210 254544342404420