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19802063902401 = 36112149832
BaseRepresentation
bin1001000000010100001101…
…11111000001011011000001
32121010001120212202221000000
410200022012333001123001
510043414111324334101
6110040535332350213
74112436413656014
oct440120677013301
977101525687000
1019802063902401
11634500a91a300
122279933175369
13b084327541b1
144c65d430b37b
1524516cbe8486
hex120286fc16c1

19802063902401 has 63 divisors (see below), whose sum is σ = 32636107030737. Its totient is φ = 12000449858760.

The previous prime is 19802063902351. The next prime is 19802063902421. The reversal of 19802063902401 is 10420936020891.

The square root of 19802063902401 is 4449951.

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

19802063902401 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 2 + 0 + 639 + 0 + 2 + 4 + 0 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-19802063902401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (19802063902421) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1321627956 + ... + 1321642938.

Almost surely, 219802063902401 is an apocalyptic number.

19802063902401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

19802063902401 is the 4449951-st square number.

19802063902401 is the 2224976-th centered octagonal number.

It is an amenable number.

19802063902401 is a deficient number, since it is larger than the sum of its proper divisors (12834043128336).

19802063902401 is an frugal number, since it uses more digits than its factorization.

19802063902401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30006 (or 14997 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 19802063902401 in words is "nineteen trillion, eight hundred two billion, sixty-three million, nine hundred two thousand, four hundred one".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 363 729 891 1089 2673 3267 8019 9801 14983 29403 44949 88209 134847 164813 404541 494439 1213623 1483317 1812943 3640869 4449951 5438829 10922607 13349853 16316487 40049559 48949461 120148677 146848383 224490289 440545149 673470867 1321635447 2020412601 2469393179 6061237803 7408179537 18183713409 22224538611 27163324969 54551140227 66673615833 81489974907 163653420681 200020847499 244469924721 600062542497 733409774163 1800187627491 2200229322489 6600687967467 19802063902401