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5334445322032 = 241761678953917
BaseRepresentation
bin100110110100000010110…
…1101111110111100110000
3200212222010122222210222011
41031220011231332330300
51144344421000301112
615202335500252304
71060254346044061
oct115500555767460
920788118883864
105334445322032
111777364352052
12721a26b41094
132c9061229018
1414628d488568
1593b63de6aa7
hex4da05b7ef30

5334445322032 has 160 divisors (see below), whose sum is σ = 11415924423360. Its totient is φ = 2404946903040.

The previous prime is 5334445322029. The next prime is 5334445322047. The reversal of 5334445322032 is 2302235444335.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 98911138 + ... + 98965054.

It is an arithmetic number, because the mean of its divisors is an integer number (71349527646).

Almost surely, 25334445322032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5334445322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5707962211680).

5334445322032 is an abundant number, since it is smaller than the sum of its proper divisors (6081479101328).

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

5334445322032 is a wasteful number, since it uses less digits than its factorization.

5334445322032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54159 (or 54153 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 40.

The spelling of 5334445322032 in words is "five trillion, three hundred thirty-four billion, four hundred forty-five million, three hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 61 67 68 89 122 134 136 178 244 268 272 356 488 536 712 976 1037 1072 1139 1424 1513 2074 2278 3026 4087 4148 4556 5429 5963 6052 8174 8296 9112 10858 11926 12104 16348 16592 18224 21716 23852 24208 32696 43432 47704 53917 65392 69479 86864 92293 95408 101371 107834 138958 184586 202742 215668 277916 363743 369172 405484 431336 555832 727486 738344 810968 862672 916589 1111664 1454972 1476688 1621936 1833178 2909944 3288937 3612439 3666356 4798613 5819888 6183631 6577874 7224878 7332712 9597226 12367262 13155748 14449756 14665424 19194452 24734524 26311496 28899512 38388904 49469048 52622992 55911929 57799024 61411463 76777808 81576421 98938096 111823858 122822926 163152842 220358779 223647716 245645852 292715393 321507071 326305684 440717558 447295432 491291704 585430786 643014142 652611368 881435116 894590864 982583408 1170861572 1286028284 1305222736 1762870232 2341723144 2572056568 3525740464 3746099243 4683446288 4976161681 5144113136 5465620207 7492198486 9952323362 10931240414 14984396972 19611931331 19904646724 21862480828 29968793944 39223862662 39809293448 43724961656 59937587888 78447725324 79618586896 87449923312 156895450648 313790901296 333402832627 666805665254 1333611330508 2667222661016 5334445322032