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18972113922900 = 223252106319830787
BaseRepresentation
bin1000101000001010010100…
…00111000110101101010100
32111011201100020110120212100
410110011022013012231110
54441314342131013100
6104203400244122100
73665455445356335
oct424051207065524
974151306416770
1018972113922900
116055034786736
122164b0a696330
13a780a78a7278
1449838043c28c
1522d7953ad400
hex11414a1c6b54

18972113922900 has 108 divisors (see below), whose sum is σ = 59522982736672. Its totient is φ = 5054470735680.

The previous prime is 18972113922893. The next prime is 18972113922911. The reversal of 18972113922900 is 922931127981.

18972113922900 is a `hidden beast` number, since 18 + 9 + 7 + 211 + 392 + 29 + 0 + 0 = 666.

It is a super-2 number, since 2×189721139229002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8958694 + ... + 10872093.

Almost surely, 218972113922900 is an apocalyptic number.

18972113922900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18972113922900 is an abundant number, since it is smaller than the sum of its proper divisors (40550868813772).

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

18972113922900 is a wasteful number, since it uses less digits than its factorization.

18972113922900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19831870 (or 19831860 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 18972113922900 in words is "eighteen trillion, nine hundred seventy-two billion, one hundred thirteen million, nine hundred twenty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1063 2126 3189 4252 5315 6378 9567 10630 12756 15945 19134 21260 26575 31890 38268 47835 53150 63780 79725 95670 106300 159450 191340 239175 318900 478350 956700 19830787 39661574 59492361 79323148 99153935 118984722 178477083 198307870 237969444 297461805 356954166 396615740 495769675 594923610 713908332 892385415 991539350 1189847220 1487309025 1784770830 1983078700 2974618050 3569541660 4461927075 5949236100 8923854150 17847708300 21080126581 42160253162 63240379743 84320506324 105400632905 126480759486 189721139229 210801265810 252961518972 316201898715 379442278458 421602531620 527003164525 632403797430 758884556916 948605696145 1054006329050 1264807594860 1581009493575 1897211392290 2108012658100 3162018987150 3794422784580 4743028480725 6324037974300 9486056961450 18972113922900