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53640330321700 = 22526797547150889
BaseRepresentation
bin11000011001001000111001…
…10101011001111100100100
321000220222001211220012202201
430030210130311121330210
524012320344030243300
6310030005541544244
714204246250542113
oct1414443465317444
9230828054805681
1053640330321700
111610081107aa41
126023a32115084
1323c1352518c55
14d362c4b79c7a
15630494c0666a
hex30c91cd59f24

53640330321700 has 144 divisors (see below), whose sum is σ = 119573719639360. Its totient is φ = 20879615877120.

The previous prime is 53640330321649. The next prime is 53640330321703. The reversal of 53640330321700 is 712303304635.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 53640330321700.

It is not an unprimeable number, because it can be changed into a prime (53640330321703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355419856 + ... + 355570744.

Almost surely, 253640330321700 is an apocalyptic number.

53640330321700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53640330321700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59786859819680).

53640330321700 is an abundant number, since it is smaller than the sum of its proper divisors (65933389317660).

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

53640330321700 is a wasteful number, since it uses less digits than its factorization.

53640330321700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151614 (or 151607 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 37.

The spelling of 53640330321700 in words is "fifty-three trillion, six hundred forty billion, three hundred thirty million, three hundred twenty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 67 97 100 134 194 268 335 388 485 547 670 970 1094 1340 1675 1940 2188 2425 2735 3350 4850 5470 6499 6700 9700 10940 12998 13675 25996 27350 32495 36649 53059 54700 64990 73298 106118 129980 146596 150889 162475 183245 212236 265295 301778 324950 366490 530590 603556 649900 732980 754445 916225 1061180 1326475 1508890 1832450 2652950 3017780 3554953 3664900 3772225 5305900 7109906 7544450 10109563 14219812 14636233 15088900 17774765 20219126 29272466 35549530 40438252 50547815 58544932 71099060 73181165 82536283 88873825 101095630 146362330 165072566 177747650 202191260 252739075 292724660 330145132 355495300 365905825 412681415 505478150 731811650 825362830 980627611 1010956300 1463623300 1650725660 1961255222 2063407075 3922510444 4126814150 4903138055 5529930961 8006019451 8253628300 9806276110 11059861922 16012038902 19612552220 22119723844 24515690275 27649654805 32024077804 40030097255 49031380550 55299309610 80060194510 98062761100 110598619220 138248274025 160120389020 200150486275 276496548050 400300972550 536403303217 552993096100 800601945100 1072806606434 2145613212868 2682016516085 5364033032170 10728066064340 13410082580425 26820165160850 53640330321700