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6413530353146 = 273291033129953
BaseRepresentation
bin101110101010100010000…
…1100101100110111111010
3211201010102221212002002122
41131111010030230313322
51320034402232300041
621350200221401242
71231235155343000
oct135250414546772
924633387762078
106413530353146
112052a65758394
12876b9a409222
13376a40bc1857
141825b8d34a70
15b1c6d644c4b
hex5d54432cdfa

6413530353146 has 64 divisors (see below), whose sum is σ = 11718547776000. Its totient is φ = 2628108016128.

The previous prime is 6413530353091. The next prime is 6413530353157.

It is a happy number.

6413530353146 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×64135303531462 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6413530353097 and 6413530353106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484106 + ... + 3614058.

It is an arithmetic number, because the mean of its divisors is an integer number (183102309000).

Almost surely, 26413530353146 is an apocalyptic number.

6413530353146 is a deficient number, since it is larger than the sum of its proper divisors (5305017422854).

6413530353146 is a wasteful number, since it uses less digits than its factorization.

6413530353146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130108 (or 3130094 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 44.

It can be divided in two parts, 6413530 and 353146, that added together give a palindrome (6766676).

The spelling of 6413530353146 in words is "six trillion, four hundred thirteen billion, five hundred thirty million, three hundred fifty-three thousand, one hundred forty-six".

Divisors: 1 2 7 14 29 49 58 98 103 203 206 343 406 686 721 1421 1442 2842 2987 5047 5974 9947 10094 19894 20909 35329 41818 70658 146363 292726 1024541 2049082 3129953 6259906 21909671 43819342 90768637 153367697 181537274 306735394 322385159 635380459 644770318 1073573879 1270760918 2147147758 2256696113 4447663213 4513392226 8895326426 9349169611 15796872791 18698339222 31133642491 31593745582 62267284982 65444187277 110578109537 130888374554 221156219074 458109310939 916218621878 3206765176573 6413530353146