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646061131998 = 2313202613
BaseRepresentation
bin10010110011011000011…
…11101000100011011110
32021202121010000000000000
421121230033220203132
541041113122210443
61212444004115130
764450666004412
oct11315417504336
92252533000000
10646061131998
11229aa1736837
12a5264695aa6
1348c00660ab9
14233ab814d42
1511c13a158d3
hex966c3e88de

646061131998 has 56 divisors (see below), whose sum is σ = 1453644417528. Its totient is φ = 215352647784.

The previous prime is 646061131981. The next prime is 646061132009. The reversal of 646061131998 is 899131160646.

It is a happy number.

646061131998 is a `hidden beast` number, since 6 + 4 + 6 + 0 + 611 + 3 + 19 + 9 + 8 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3087340 + ... + 3289952.

Almost surely, 2646061131998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646061131998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726822208764).

646061131998 is an abundant number, since it is smaller than the sum of its proper divisors (807583285530).

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

646061131998 is an frugal number, since it uses more digits than its factorization.

646061131998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202654 (or 202618 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 646061131998 in words is "six hundred forty-six billion, sixty-one million, one hundred thirty-one thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 4374 6561 13122 19683 39366 59049 118098 177147 202613 354294 405226 531441 607839 1062882 1215678 1594323 1823517 3188646 3647034 5470551 10941102 16411653 32823306 49234959 98469918 147704877 295409754 443114631 886229262 1329343893 2658687786 3988031679 7976063358 11964095037 23928190074 35892285111 71784570222 107676855333 215353710666 323030565999 646061131998