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19980497702025 = 325272425712
BaseRepresentation
bin1001000101100000100100…
…11101111100110010001001
32121202010011020110010020100
410202300102131330302021
510104330024402431100
6110254525224120013
74131354234151200
oct442602235746211
977663136403210
1019980497702025
116403755075a03
1222a8430306009
13b1c1caa68253
144d10c00d0237
15249b12b7c400
hex122c1277cc89

19980497702025 has 81 divisors (see below), whose sum is σ = 41631092453223. Its totient is φ = 9133727248800.

The previous prime is 19980497701999. The next prime is 19980497702041. The reversal of 19980497702025 is 52020779408991.

The square root of 19980497702025 is 4469955.

It is a perfect power (a square), and thus also a powerful number.

19980497702025 is a `hidden beast` number, since 19 + 98 + 0 + 497 + 7 + 0 + 20 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7192979172729 + 12787518529296 = 2681973^2 + 3575964^2 .

It is not a de Polignac number, because 19980497702025 - 223 = 19980489313417 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 469323990 + ... + 469366560.

Almost surely, 219980497702025 is an apocalyptic number.

19980497702025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19980497702025 is the 4469955-th square number.

19980497702025 is the 2234978-th centered octagonal number.

It is an amenable number.

19980497702025 is an abundant number, since it is smaller than the sum of its proper divisors (21650594751198).

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

19980497702025 is an frugal number, since it uses more digits than its factorization.

19980497702025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85172 (or 42586 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 19980497702025 in words is "nineteen trillion, nine hundred eighty billion, four hundred ninety-seven million, seven hundred two thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 3675 11025 42571 127713 212855 297997 383139 638565 893991 1064275 1489985 1915695 2085979 2681973 3192825 4469955 6257937 7449925 9578475 10429895 13409865 18773811 22349775 31289685 52149475 67049325 93869055 156448425 469345275 1812290041 5436870123 9061450205 12686030287 16310610369 27184350615 38058090861 45307251025 63430151435 81553051845 88802212009 114174272583 135921753075 190290454305 266406636027 317150757175 407765259225 444011060045 570871362915 799219908081 951452271525 1332033180135 2220055300225 2854356814575 3996099540405 6660165900675 19980497702025