Search a number
-
+
1997748963 = 3273611032
BaseRepresentation
bin111011100010011…
…0011101011100011
312011020010011101100
41313010303223203
513042410431323
6530122405443
7100335405000
oct16704635343
95136104340
101997748963
1193574a401
12479060883
1325ab698a2
1414d4708a7
15ba5ba943
hex77133ae3

1997748963 has 72 divisors (see below), whose sum is σ = 3453871200. Its totient is φ = 1111955040.

The previous prime is 1997748953. The next prime is 1997749021. The reversal of 1997748963 is 3698477991.

1997748963 is a `hidden beast` number, since 1 + 9 + 97 + 7 + 489 + 63 = 666.

It is not a de Polignac number, because 1997748963 - 28 = 1997748707 is a prime.

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

Its product of digits (20575296) is a multiple of the sum of its prime factors (294).

It is a self number, because there is not a number n which added to its sum of digits gives 1997748963.

It is not an unprimeable number, because it can be changed into a prime (1997748923) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19395570 + ... + 19395672.

Almost surely, 21997748963 is an apocalyptic number.

1997748963 is a deficient number, since it is larger than the sum of its proper divisors (1456122237).

1997748963 is an equidigital number, since it uses as much as digits as its factorization.

1997748963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 174 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 63.

The square root of 1997748963 is about 44696.1851056665. The cubic root of 1997748963 is about 1259.4481842941.

The spelling of 1997748963 in words is "one billion, nine hundred ninety-seven million, seven hundred forty-eight thousand, nine hundred sixty-three".

Divisors: 1 3 7 9 21 49 61 63 103 147 183 309 343 427 441 549 721 927 1029 1281 2163 2989 3087 3843 5047 6283 6489 8967 10609 15141 18849 20923 26901 31827 35329 43981 45423 56547 62769 74263 95481 105987 131943 188307 222789 307867 317961 395829 519841 647149 668367 923601 1559523 1941447 2155069 2770803 3638887 4530043 4678569 5824341 6465207 10916661 13590129 19395621 31710301 32749983 40770387 95130903 221972107 285392709 665916321 1997748963