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209039155264 = 266728532
BaseRepresentation
bin1100001010101110110…
…1000110000001000000
3201222120022001100102201
43002223231012001000
511411103010432024
6240010430322544
721050120334232
oct3025355060100
9658508040381
10209039155264
1180720176355
123461a959454
1316934c2b664
14a1907aa252
155686cd7744
hex30abb46040

209039155264 has 63 divisors (see below), whose sum is σ = 421589948157. Its totient is φ = 102838881024.

The previous prime is 209039155223. The next prime is 209039155301. The reversal of 209039155264 is 462551930902.

The square root of 209039155264 is 457208.

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

It can be written as a sum of positive squares in only one way, i.e., 12073614400 + 196965540864 = 109880^2 + 443808^2 .

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, 245063062 + ... + 245063914.

It is an arithmetic number, because the mean of its divisors is an integer number (6691903939).

Almost surely, 2209039155264 is an apocalyptic number.

209039155264 is the 457208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209039155264

209039155264 is an abundant number, since it is smaller than the sum of its proper divisors (212550792893).

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

209039155264 is an frugal number, since it uses more digits than its factorization.

209039155264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 46.

The spelling of 209039155264 in words is "two hundred nine billion, thirty-nine million, one hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 67 134 268 536 853 1072 1706 2144 3412 4288 4489 6824 8978 13648 17956 27296 35912 54592 57151 71824 114302 143648 228604 287296 457208 727609 914416 1455218 1828832 2910436 3657664 3829117 5820872 7658234 11641744 15316468 23283488 30632936 46566976 48749803 61265872 97499606 122531744 194999212 245063488 389998424 779996848 1559993696 3119987392 3266236801 6532473602 13064947204 26129894408 52259788816 104519577632 209039155264