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5381558323920 = 243357334129619
BaseRepresentation
bin100111001001111110111…
…0111110100101011010000
3201001110202001102021201000
41032103331313310223100
51201132412412331140
615240130451342000
71063543014000522
oct116237567645320
921043661367630
105381558323920
111795340416749
1272ab94bb1900
1330062bb2b02c
1414867c5c9a12
1594ec00b9a30
hex4e4fddf4ad0

5381558323920 has 160 divisors (see below), whose sum is σ = 18790403587200. Its totient is φ = 1415423517696.

The previous prime is 5381558323903. The next prime is 5381558323927. The reversal of 5381558323920 is 293238551835.

It is a happy number.

5381558323920 is a `hidden beast` number, since 5 + 3 + 8 + 1 + 5 + 583 + 2 + 39 + 20 = 666.

It is a super-2 number, since 2×53815583239202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5381558323927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16907130 + ... + 17222489.

It is an arithmetic number, because the mean of its divisors is an integer number (117440022420).

Almost surely, 25381558323920 is an apocalyptic number.

It is an amenable number.

5381558323920 is an abundant number, since it is smaller than the sum of its proper divisors (13408845263280).

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

5381558323920 is a wasteful number, since it uses less digits than its factorization.

5381558323920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34129714 (or 34129702 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 5381558323920 in words is "five trillion, three hundred eighty-one billion, five hundred fifty-eight million, three hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 73 80 90 108 120 135 144 146 180 216 219 240 270 292 360 365 432 438 540 584 657 720 730 876 1080 1095 1168 1314 1460 1752 1971 2160 2190 2628 2920 3285 3504 3942 4380 5256 5840 6570 7884 8760 9855 10512 13140 15768 17520 19710 26280 31536 39420 52560 78840 157680 34129619 68259238 102388857 136518476 170648095 204777714 273036952 307166571 341296190 409555428 511944285 546073904 614333142 682592380 819110856 921499713 1023888570 1228666284 1365184760 1535832855 1638221712 1842999426 2047777140 2457332568 2491462187 2730369520 3071665710 3685998852 4095554280 4607498565 4914665136 4982924374 6143331420 7371997704 7474386561 8191108560 9214997130 9965848748 12286662840 12457310935 14743995408 14948773122 18429994260 19931697496 22423159683 24573325680 24914621870 29897546244 36859988520 37371932805 39863394992 44846319366 49829243740 59795092488 67269479049 73719977040 74743865610 89692638732 99658487480 112115798415 119590184976 134538958098 149487731220 179385277464 199316974960 224231596830 269077916196 298975462440 336347395245 358770554928 448463193660 538155832392 597950924880 672694790490 896926387320 1076311664784 1345389580980 1793852774640 2690779161960 5381558323920