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444413454676550 = 25217247654367157
BaseRepresentation
bin110010100001100010001001…
…0000110010111001001000110
32011021112111210202210120210222
41211003010102012113021012
5431222232223344122200
64213104420025544342
7162415545461535452
oct14503042206271106
92137474722716728
10444413454676550
1111967076236a327
1241a1637a9450b2
13160c9016897438
147ba5a24109662
15365a331a14d85
hex1943112197246

444413454676550 has 72 divisors (see below), whose sum is σ = 896776162946784. Its totient is φ = 163748837117440.

The previous prime is 444413454676549. The next prime is 444413454676553. The reversal of 444413454676550 is 55676454314444.

It is a happy number.

It is a super-2 number, since 2×4444134546765502 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444413454676553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 326504429 + ... + 327862728.

It is an arithmetic number, because the mean of its divisors is an integer number (12455224485372).

Almost surely, 2444413454676550 is an apocalyptic number.

444413454676550 is an abundant number, since it is smaller than the sum of its proper divisors (452362708270234).

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

444413454676550 is a wasteful number, since it uses less digits than its factorization.

444413454676550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654367250 (or 654367228 counting only the distinct ones).

The product of its (nonzero) digits is 387072000, while the sum is 62.

The spelling of 444413454676550 in words is "four hundred forty-four trillion, four hundred thirteen billion, four hundred fifty-four million, six hundred seventy-six thousand, five hundred fifty".

Divisors: 1 2 5 10 17 25 34 47 50 85 94 170 235 289 425 470 578 799 850 1175 1445 1598 2350 2890 3995 7225 7990 13583 14450 19975 27166 39950 67915 135830 339575 679150 654367157 1308734314 3271835785 6543671570 11124241669 16359178925 22248483338 30755256379 32718357850 55621208345 61510512758 111242416690 153776281895 189112108373 278106041725 307552563790 378224216746 522839358443 556212083450 768881409475 945560541865 1045678716886 1537762818950 1891121083730 2614196792215 4727802709325 5228393584430 8888269093531 9455605418650 13070983961075 17776538187062 26141967922150 44441345467655 88882690935310 222206727338275 444413454676550