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190277419264 = 2813721992
BaseRepresentation
bin1011000100110101101…
…0110000000100000000
3200012010202112102001121
42301031122300010000
511104142004404024
6223225013242024
716514152243402
oct2611532600400
9605122472047
10190277419264
1173772708409
1230a63633314
1314c34c5481a
1492d0b34b72
154e39b148e4
hex2c4d6b0100

190277419264 has 81 divisors (see below), whose sum is σ = 384536446077. Its totient is φ = 93969672192.

The previous prime is 190277419253. The next prime is 190277419313. The reversal of 190277419264 is 462914772091.

It is a happy number.

The square root of 190277419264 is 436208.

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., 111769862400 + 78507556864 = 334320^2 + 280192^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 956167837 + ... + 956168035.

Almost surely, 2190277419264 is an apocalyptic number.

190277419264 is the 436208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190277419264

190277419264 is an abundant number, since it is smaller than the sum of its proper divisors (194259026813).

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

190277419264 is an frugal number, since it uses more digits than its factorization.

190277419264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 190277419264 in words is "one hundred ninety billion, two hundred seventy-seven million, four hundred nineteen thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 137 199 256 274 398 548 796 1096 1592 2192 3184 4384 6368 8768 12736 17536 18769 25472 27263 35072 37538 39601 50944 54526 75076 79202 109052 150152 158404 218104 300304 316808 436208 600608 633616 872416 1201216 1267232 1744832 2402432 2534464 3489664 3735031 4804864 5068928 5425337 6979328 7470062 10137856 10850674 14940124 21701348 29880248 43402696 59760496 86805392 119520992 173610784 239041984 347221568 478083968 694443136 743271169 956167936 1388886272 1486542338 2973084676 5946169352 11892338704 23784677408 47569354816 95138709632 190277419264