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55399722723801 = 342324128772
BaseRepresentation
bin11001001100010110000001…
…10010110010100111011001
321021011011100221002200010000
430212023000302302213121
524230132113004130201
6313454140431043213
714445332526320001
oct1446130062624731
9237134327080100
1055399722723801
1116719988234265
126268a07070509
1324bb22c852901
14d9750a3b7001
15661119758d86
hex3262c0cb29d9

55399722723801 has 135 divisors (see below), whose sum is σ = 88774953267693. Its totient is φ = 34426416942720.

The previous prime is 55399722723721. The next prime is 55399722723841. The reversal of 55399722723801 is 10832722799355.

The square root of 55399722723801 is 7443099.

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

55399722723801 is a `hidden beast` number, since 5 + 5 + 399 + 7 + 2 + 2 + 7 + 238 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1909163975625 + 53490558748176 = 1381725^2 + 7313724^2 .

It is not a de Polignac number, because 55399722723801 - 213 = 55399722715609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55399722723841) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 63169580775 + ... + 63169581651.

Almost surely, 255399722723801 is an apocalyptic number.

55399722723801 is the 7443099-th square number.

55399722723801 is the 3721550-th centered octagonal number.

It is an amenable number.

55399722723801 is a deficient number, since it is larger than the sum of its proper divisors (33375230543892).

55399722723801 is an frugal number, since it uses more digits than its factorization.

55399722723801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 55399722723801 in words is "fifty-five trillion, three hundred ninety-nine billion, seven hundred twenty-two million, seven hundred twenty-three thousand, eight hundred one".

Divisors: 1 3 9 23 27 41 69 81 123 207 369 529 621 877 943 1107 1587 1681 1863 2631 2829 3321 4761 5043 7893 8487 14283 15129 20171 21689 23679 25461 35957 38663 42849 45387 60513 65067 71037 76383 107871 115989 136161 181539 195201 323613 347967 463933 544617 585603 769129 827011 889249 970839 1043901 1391799 1474237 1633851 1756809 2307387 2481033 2667747 2912517 3131703 4175397 4422711 6922161 7443099 8003241 12526191 13268133 17689967 19021253 20766483 22329297 24009723 31534289 33907451 37578573 39804399 53069901 57063759 62299449 66987891 72029169 94602867 101722353 119413197 159209703 171191277 283808601 305167059 406869241 477629109 513573831 725288647 779871373 851425803 915501177 1220607723 1292905849 1432887327 1540721493 2175865941 2339614119 2554277409 2746503531 3661823169 3878717547 6527597823 7018842357 10985469507 11636152641 16681638881 19582793469 21056527071 29736834527 32956408521 34908457923 50044916643 58748380407 63169581213 89210503581 104725373769 150134749929 267631510743 450404249787 683947194121 802894532229 1351212749361 2051841582363 2408683596687 6155524747089 18466574241267 55399722723801