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5934641676544 = 2872217512
BaseRepresentation
bin101011001011100010000…
…1101011000000100000000
3210000100100101022201012201
41112113010031120010000
51234213121232122134
620342200423202544
71151522644634200
oct126270415300400
923010311281181
105934641676544
11198895a5686a9
127ba20b5a6454
13340832765419
14167349842400
15a45910ed914
hex565c4358100

5934641676544 has 81 divisors (see below), whose sum is σ = 13780792061631. Its totient is φ = 2543300928000.

The previous prime is 5934641676539. The next prime is 5934641676569. The reversal of 5934641676544 is 4456761464395.

It is a happy number.

The square root of 5934641676544 is 2436112.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 272833669 + ... + 272855419.

Almost surely, 25934641676544 is an apocalyptic number.

5934641676544 is the 2436112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5934641676544

5934641676544 is an abundant number, since it is smaller than the sum of its proper divisors (7846150385087).

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

5934641676544 is an frugal number, since it uses more digits than its factorization.

5934641676544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43532 (or 21760 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 64.

Multiplying 5934641676544 by its sum of digits (64), we get a square (379817067298816 = 194888962).

5934641676544 divided by its sum of digits (64) gives a square (92728776196 = 3045142).

The spelling of 5934641676544 in words is "five trillion, nine hundred thirty-four billion, six hundred forty-one million, six hundred seventy-six thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 12544 21751 43502 87004 152257 174008 304514 348016 609028 696032 1065799 1218056 1392064 2131598 2436112 2784128 4263196 4872224 5568256 8526392 9744448 17052784 19488896 34105568 38977792 68211136 136422272 272844544 473106001 946212002 1892424004 3311742007 3784848008 6623484014 7569696016 13246968028 15139392032 23182194049 26493936056 30278784064 46364388098 52987872112 60557568128 92728776196 105975744224 121115136256 185457552392 211951488448 370915104784 423902976896 741830209568 847805953792 1483660419136 2967320838272 5934641676544