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209288972288 = 2111129192
BaseRepresentation
bin1100001011101010011…
…0000100100000000000
3202000012201010100222002
43002322212010200000
511412110434103123
6240051313003132
721056242624604
oct3027246044000
9660181110862
10209288972288
1180839194600
123468a5534a8
1316974908996
14a1b5a39504
15569dbd2528
hex30ba984800

209288972288 has 108 divisors (see below), whose sum is σ = 460478544435. Its totient is φ = 95027834880.

The previous prime is 209288972257. The next prime is 209288972339. The reversal of 209288972288 is 882279882902.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 104644486144 + 104644486144 = 323488^2 + 323488^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=323488.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 227735093 + ... + 227736011.

Almost surely, 2209288972288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209288972288

209288972288 is an abundant number, since it is smaller than the sum of its proper divisors (251189572147).

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

209288972288 is an frugal number, since it uses more digits than its factorization.

209288972288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 65.

The spelling of 209288972288 in words is "two hundred nine billion, two hundred eighty-eight million, nine hundred seventy-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 919 968 1024 1408 1838 1936 2048 2816 3676 3872 5632 7352 7744 10109 11264 14704 15488 20218 22528 29408 30976 40436 58816 61952 80872 111199 117632 123904 161744 222398 235264 247808 323488 444796 470528 646976 844561 889592 941056 1293952 1689122 1779184 1882112 2587904 3378244 3558368 5175808 6756488 7116736 9290171 10351616 13512976 14233472 18580342 20703232 27025952 28466944 37160684 54051904 56933888 74321368 102191881 108103808 113867776 148642736 204383762 216207616 227735552 297285472 408767524 432415232 594570944 817535048 864830464 1189141888 1635070096 1729660928 2378283776 3270140192 4756567552 6540280384 9513135104 13080560768 19026270208 26161121536 52322243072 104644486144 209288972288