Search a number
-
+
6402510152046 = 2321793851222941
BaseRepresentation
bin101110100101011001101…
…0101111110000101101110
3211200001222221101212011100
41131022303111332011232
51314344320044331141
621341134512303530
71230365112232551
oct135126325760556
924601887355140
106402510152046
112049320082178
12874a23841ba6
133759a5a433b8
14181c514c6698
15b1825e150b6
hex5d2b357e16e

6402510152046 has 48 divisors (see below), whose sum is σ = 14688333913968. Its totient is φ = 2008600224000.

The previous prime is 6402510152023. The next prime is 6402510152047.

6402510152046 is a `hidden beast` number, since 6 + 4 + 0 + 25 + 101 + 520 + 4 + 6 = 666.

6402510152046 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×64025101520462 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6402510152046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6402510152047) 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, 28606936 + ... + 28829876.

It is an arithmetic number, because the mean of its divisors is an integer number (306006956541).

Almost surely, 26402510152046 is an apocalyptic number.

6402510152046 is an abundant number, since it is smaller than the sum of its proper divisors (8285823761922).

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

6402510152046 is a wasteful number, since it uses less digits than its factorization.

6402510152046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316817 (or 316814 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 6402510 and 152046, that added together give a palindrome (6554556).

The spelling of 6402510152046 in words is "six trillion, four hundred two billion, five hundred ten million, one hundred fifty-two thousand, forty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 93851 187702 222941 281553 445882 563106 668823 844659 1337646 1595467 1689318 2006469 3190934 3789997 4012938 4786401 7579994 9572802 11369991 14359203 22739982 28718406 34109973 68219946 20923235791 41846471582 62769707373 125539414746 188309122119 355695008447 376618244238 711390016894 1067085025341 2134170050682 3201255076023 6402510152046