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67630163364 = 22328924872
BaseRepresentation
bin111110111111000100…
…100110010110100100
320110120021002021011100
4332333010212112210
52102001310211424
651022513040100
74612636621641
oct767704462644
9213507067140
1067630163364
11267555117a5
1211135256030
1364ba49015a
1433b7da8dc8
151b5c546dc9
hexfbf1265a4

67630163364 has 81 divisors (see below), whose sum is σ = 173252190657. Its totient is φ = 22244321088.

The previous prime is 67630163357. The next prime is 67630163387. The reversal of 67630163364 is 46336103676.

The square root of 67630163364 is 260058.

It is a perfect power (a square), and thus also a powerful number.

67630163364 is a `hidden beast` number, since 6 + 7 + 6 + 3 + 0 + 1 + 633 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12986425764 + 54643737600 = 113958^2 + 233760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 138870729 + ... + 138871215.

Almost surely, 267630163364 is an apocalyptic number.

67630163364 is the 260058-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67630163364

67630163364 is an abundant number, since it is smaller than the sum of its proper divisors (105622027293).

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

67630163364 is an equidigital number, since it uses as much as digits as its factorization.

67630163364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 67630163364 in words is "sixty-seven billion, six hundred thirty million, one hundred sixty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 487 534 801 974 1068 1461 1602 1948 2922 3204 4383 5844 7921 8766 15842 17532 23763 31684 43343 47526 71289 86686 95052 130029 142578 173372 237169 260058 285156 390087 474338 520116 711507 780174 948676 1423014 1560348 2134521 2846028 3857527 4269042 7715054 8538084 11572581 15430108 21108041 23145162 34717743 42216082 46290324 63324123 69435486 84432164 126648246 138870972 189972369 253296492 379944738 759889476 1878615649 3757231298 5635846947 7514462596 11271693894 16907540841 22543387788 33815081682 67630163364