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163207920100 = 22527125692
BaseRepresentation
bin1001011111111111110…
…0110011100111100100
3120121021020111101002111
42113333330303213210
510133222211420400
6202550544050404
714535305300641
oct2277774634744
9517236441074
10163207920100
1163241685aa5
122776a003a04
131250ca4c3b4
147c839a0dc8
1543a34023ba
hex25fff339e4

163207920100 has 81 divisors (see below), whose sum is σ = 359852055451. Its totient is φ = 64250569600.

The previous prime is 163207920041. The next prime is 163207920137. The reversal of 163207920100 is 1029702361.

The square root of 163207920100 is 403990.

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

It can be written as a sum of positive squares in 4 ways, for example, as 38790878116 + 124417041984 = 196954^2 + 352728^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 286832616 + ... + 286833184.

Almost surely, 2163207920100 is an apocalyptic number.

163207920100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

163207920100 is the 403990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163207920100

163207920100 is an abundant number, since it is smaller than the sum of its proper divisors (196644135351).

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

163207920100 is an frugal number, since it uses more digits than its factorization.

163207920100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The spelling of 163207920100 in words is "one hundred sixty-three billion, two hundred seven million, nine hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 569 710 1138 1420 1775 2276 2845 3550 5041 5690 7100 10082 11380 14225 20164 25205 28450 40399 50410 56900 80798 100820 126025 161596 201995 252050 323761 403990 504100 647522 807980 1009975 1295044 1618805 2019950 2868329 3237610 4039900 5736658 6475220 8094025 11473316 14341645 16188050 22987031 28683290 32376100 45974062 57366580 71708225 91948124 114935155 143416450 229870310 286832900 459740620 574675775 1149351550 1632079201 2298703100 3264158402 6528316804 8160396005 16320792010 32641584020 40801980025 81603960050 163207920100