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209742198144 = 273233712
BaseRepresentation
bin1100001101010110011…
…0111111010110000000
3202001101021221121221220
43003111212333112000
511414023000320034
6240204303115040
721103415161023
oct3032546772600
9661337847856
10209742198144
1180a51003926
12347962a2a80
1316a17794a6b
14a219cd71ba
1556c88ab749
hex30d59bf580

209742198144 has 48 divisors (see below), whose sum is σ = 557151553260. Its totient is φ = 69911074560.

The previous prime is 209742198119. The next prime is 209742198209. The reversal of 209742198144 is 441891247902.

209742198144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8962779 + ... + 8986149.

Almost surely, 2209742198144 is an apocalyptic number.

209742198144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

209742198144 is an abundant number, since it is smaller than the sum of its proper divisors (347409355116).

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

209742198144 is an frugal number, since it uses more digits than its factorization.

209742198144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46759 (or 23376 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 209742198144 in words is "two hundred nine billion, seven hundred forty-two million, one hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 23371 46742 70113 93484 140226 186968 280452 373936 560904 747872 1121808 1495744 2243616 2991488 4487232 8974464 546203641 1092407282 1638610923 2184814564 3277221846 4369629128 6554443692 8739258256 13108887384 17478516512 26217774768 34957033024 52435549536 69914066048 104871099072 209742198144