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13004450451 = 35317401421
BaseRepresentation
bin11000001110010000…
…00010101010010011
31020120022011112100000
430013020002222103
5203113114403301
65550230301043
7640156001466
oct140710025223
936508145300
1013004450451
115573745113
12262b1b7783
1312c329c5c5
148b51a72dd
15511a30786
hex307202a93

13004450451 has 48 divisors (see below), whose sum is σ = 19636632288. Its totient is φ = 8600256000.

The previous prime is 13004450449. The next prime is 13004450467. The reversal of 13004450451 is 15405440031.

It is a happy number.

It is not a de Polignac number, because 13004450451 - 21 = 13004450449 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13004450411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30889221 + ... + 30889641.

It is an arithmetic number, because the mean of its divisors is an integer number (409096506).

Almost surely, 213004450451 is an apocalyptic number.

13004450451 is a deficient number, since it is larger than the sum of its proper divisors (6632181837).

13004450451 is an equidigital number, since it uses as much as digits as its factorization.

13004450451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 13004450451 its reverse (15405440031), we get a palindrome (28409890482).

The spelling of 13004450451 in words is "thirteen billion, four million, four hundred fifty thousand, four hundred fifty-one".

Divisors: 1 3 9 27 81 243 317 401 421 951 1203 1263 2853 3609 3789 8559 10827 11367 25677 32481 34101 77031 97443 102303 127117 133457 168821 381351 400371 506463 1144053 1201113 1519389 3432159 3603339 4558167 10296477 10810017 13674501 30889431 32430051 41023503 53516257 160548771 481646313 1444938939 4334816817 13004450451