Search a number
-
+
196624896363 = 33727321672
BaseRepresentation
bin1011011100011111000…
…0011101000101101011
3200210112010102122201000
42313013300131011223
511210141433140423
6230154521530043
720130356020500
oct2670760350553
9623463378630
10196624896363
117642a69a955
1232135343923
131570700232c
149733b554a7
1551abed8843
hex2dc7c1d16b

196624896363 has 108 divisors (see below), whose sum is σ = 345629693880. Its totient is φ = 110154364992.

The previous prime is 196624896361. The next prime is 196624896401. The reversal of 196624896363 is 363698426691.

It is a happy number.

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.

196624896363 is a `hidden beast` number, since 1 + 96 + 6 + 2 + 489 + 6 + 3 + 63 = 666.

It is not a de Polignac number, because 196624896363 - 21 = 196624896361 is a prime.

It is a super-2 number, since 2×1966248963632 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 196624896363.

It is not an unprimeable number, because it can be changed into a prime (196624896361) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1177394506 + ... + 1177394672.

Almost surely, 2196624896363 is an apocalyptic number.

196624896363 is a deficient number, since it is larger than the sum of its proper divisors (149004797517).

196624896363 is an frugal number, since it uses more digits than its factorization.

196624896363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 250 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 63.

The spelling of 196624896363 in words is "one hundred ninety-six billion, six hundred twenty-four million, eight hundred ninety-six thousand, three hundred sixty-three".

Divisors: 1 3 7 9 21 27 49 63 73 147 167 189 219 441 501 511 657 1169 1323 1503 1533 1971 3507 3577 4509 4599 5329 8183 10521 10731 12191 13797 15987 24549 27889 31563 32193 36573 37303 47961 73647 83667 85337 96579 109719 111909 143883 195223 220941 251001 256011 261121 329157 335727 585669 597359 753003 768033 783363 889943 1007181 1366561 1757007 1792077 2035897 2304099 2350089 2669829 4099683 5271021 5376231 6107691 6229601 7050267 8009487 12299049 14251279 16128693 18323073 18688803 24028461 36897147 42753837 43607207 54969219 56066409 99758953 128261511 130821621 148620481 168199227 299276859 384784533 392464863 445861443 897830577 1040343367 1177394589 1337584329 2693491731 3121030101 4012752987 7282403569 9363090303 21847210707 28089270909 65541632121 196624896363