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5442623190928 = 247311471918243
BaseRepresentation
bin100111100110011010110…
…0111110011011110010000
3201021022100202201221101001
41033030311213303132100
51203132443014102203
615324150115351344
71101134163544000
oct117146547633620
921238322657331
105442623190928
1118092269a2090
1273a9975b2554
13306311087731
1414b5d2674000
159689606391d
hex4f3359f3790

5442623190928 has 160 divisors (see below), whose sum is σ = 13700865945600. Its totient is φ = 2075384384640.

The previous prime is 5442623190889. The next prime is 5442623190937. The reversal of 5442623190928 is 8290913262445.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1878175 + ... + 3796417.

It is an arithmetic number, because the mean of its divisors is an integer number (85630412160).

Almost surely, 25442623190928 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 5442623190928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6850432972800).

5442623190928 is an abundant number, since it is smaller than the sum of its proper divisors (8258242754672).

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

5442623190928 is a wasteful number, since it uses less digits than its factorization.

5442623190928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918330 (or 1918310 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 55.

The spelling of 5442623190928 in words is "five trillion, four hundred forty-two billion, six hundred twenty-three million, one hundred ninety thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 47 49 56 77 88 94 98 112 154 176 188 196 308 329 343 376 392 517 539 616 658 686 752 784 1034 1078 1232 1316 1372 2068 2156 2303 2632 2744 3619 3773 4136 4312 4606 5264 5488 7238 7546 8272 8624 9212 14476 15092 16121 18424 25333 28952 30184 32242 36848 50666 57904 60368 64484 101332 128968 177331 202664 257936 354662 405328 709324 1418648 1918243 2837296 3836486 7672972 13427701 15345944 21100673 26855402 30691888 42201346 53710804 84402692 90157421 93993907 107421608 147704711 168805384 180314842 187987814 214843216 295409422 337610768 360629684 375975628 590818844 631101947 657957349 721259368 751951256 991731631 1033932977 1181637688 1262203894 1315914698 1442518736 1503902512 1983463262 2067865954 2363275376 2524407788 2631829396 3966926524 4135731908 4417713629 5048815576 5263658792 6942121417 7237530839 7933853048 8271463816 8835427258 10097631152 10527317584 13884242834 14475061678 15867706096 16542927632 17670854516 27768485668 28950123356 30923995403 35341709032 48594849919 55536971336 57900246712 61847990806 70683418064 97189699838 111073942672 115800493424 123695981612 194379399676 247391963224 340163949433 388758799352 494783926448 680327898866 777517598704 1360655797732 2721311595464 5442623190928