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6412540216 = 23173110314767
BaseRepresentation
bin1011111100011011…
…11001100100111000
3121112220022210110111
411332031321210320
5101113102241331
62540150554104
7314623456345
oct57615714470
917486283414
106412540216
1127a0791415
1212ab668934
137b26ab1c4
1444b9197cc
15277e76db1
hex17e379938

6412540216 has 64 divisors (see below), whose sum is σ = 13269934080. Its totient is φ = 2891773440.

The previous prime is 6412540181. The next prime is 6412540229. The reversal of 6412540216 is 6120452146.

It is a happy number.

It is a super-2 number, since 2×64125402162 = 82241344043634653312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426865 + ... + 441631.

It is an arithmetic number, because the mean of its divisors is an integer number (207342720).

Almost surely, 26412540216 is an apocalyptic number.

It is an amenable number.

6412540216 is an abundant number, since it is smaller than the sum of its proper divisors (6857393864).

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

6412540216 is a wasteful number, since it uses less digits than its factorization.

6412540216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14924 (or 14920 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 6412540216 is about 80078.3379947411. The cubic root of 6412540216 is about 1857.8473782596.

The spelling of 6412540216 in words is "six billion, four hundred twelve million, five hundred forty thousand, two hundred sixteen".

Divisors: 1 2 4 8 17 31 34 62 68 103 124 136 206 248 412 527 824 1054 1751 2108 3193 3502 4216 6386 7004 12772 14008 14767 25544 29534 54281 59068 108562 118136 217124 251039 434248 457777 502078 915554 1004156 1521001 1831108 2008312 3042002 3662216 6084004 7782209 12168008 15564418 25857017 31128836 47151031 51714034 62257672 94302062 103428068 188604124 206856136 377208248 801567527 1603135054 3206270108 6412540216