Search a number
-
+
1995661854 = 233291578117
BaseRepresentation
bin111011011110011…
…0110001000011110
312011002012010102000
41312330312020132
513041342134404
6530005543130
7100311563064
oct16674661036
95132163360
101995661854
1193455431a
12478414aa6
1325a5b8904
1414d08a034
15ba307339
hex76f3621e

1995661854 has 64 divisors (see below), whose sum is σ = 4617518400. Its totient is φ = 638112384.

The previous prime is 1995661853. The next prime is 1995661867. The reversal of 1995661854 is 4581665991.

1995661854 is a `hidden beast` number, since 19 + 9 + 5 + 6 + 618 + 5 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1995661854.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1995661853) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241804 + ... + 249920.

It is an arithmetic number, because the mean of its divisors is an integer number (72148725).

Almost surely, 21995661854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1995661854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308759200).

1995661854 is an abundant number, since it is smaller than the sum of its proper divisors (2621856546).

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

1995661854 is a wasteful number, since it uses less digits than its factorization.

1995661854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8314 (or 8308 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The square root of 1995661854 is about 44672.8312736052. The cubic root of 1995661854 is about 1259.0094368813.

It can be divided in two parts, 19956 and 61854, that added together give a triangular number (81810 = T404).

The spelling of 1995661854 in words is "one billion, nine hundred ninety-five million, six hundred sixty-one thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 157 174 261 314 471 522 783 942 1413 1566 2826 4239 4553 8117 8478 9106 13659 16234 24351 27318 40977 48702 73053 81954 122931 146106 219159 235393 245862 438318 470786 706179 1274369 1412358 2118537 2548738 3823107 4237074 6355611 7646214 11469321 12711222 22938642 34407963 36956701 68815926 73913402 110870103 221740206 332610309 665220618 997830927 1995661854