Search a number
-
+
642363363246 = 231121599155331
BaseRepresentation
bin10010101100011111101…
…01110000111110101110
32021102001101222212212210
421112033311300332232
541011030010110441
61211033032111250
764260235332453
oct11261765607656
92242041885783
10642363363246
11228474410400
12a45b2235526
134876153b957
142313a69582a
1511a99090616
hex958fd70fae

642363363246 has 48 divisors (see below), whose sum is σ = 1412251473024. Its totient is φ = 194639874000.

The previous prime is 642363363241. The next prime is 642363363251.

642363363246 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (642363363241) and next prime (642363363251).

It is a junction number, because it is equal to n+sod(n) for n = 642363363195 and 642363363204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642363363241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11581801 + ... + 11637131.

It is an arithmetic number, because the mean of its divisors is an integer number (29421905688).

Almost surely, 2642363363246 is an apocalyptic number.

642363363246 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

642363363246 is an abundant number, since it is smaller than the sum of its proper divisors (769888109778).

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

642363363246 is a wasteful number, since it uses less digits than its factorization.

642363363246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71349 (or 71338 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 48.

The spelling of 642363363246 in words is "six hundred forty-two billion, three hundred sixty-three million, three hundred sixty-three thousand, two hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 15991 31982 47973 55331 95946 110662 165993 175901 331986 351802 527703 608641 1055406 1217282 1825923 1934911 3651846 3869822 5804733 6695051 11609466 13390102 20085153 40170306 884798021 1769596042 2654394063 5308788126 9732778231 19465556462 29198334693 58396669386 107060560541 214121121082 321181681623 642363363246