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19616243364 = 22343122512
BaseRepresentation
bin10010010001001110…
…000001111010100100
31212122002102102010000
4102101032001322210
5310133224241424
613002300101300
71263052213614
oct222116017244
955562372100
1019616243364
118356948a83
123975534830
131b080328c3
14d4134ca44
1579c2153c9
hex491381ea4

19616243364 has 135 divisors (see below), whose sum is σ = 53200263963. Its totient is φ = 6302610000.

The previous prime is 19616243357. The next prime is 19616243377. The reversal of 19616243364 is 46334261691.

The square root of 19616243364 is 140058.

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

19616243364 is a `hidden beast` number, since 1 + 9 + 616 + 24 + 3 + 3 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 78152239 + ... + 78152489.

Almost surely, 219616243364 is an apocalyptic number.

19616243364 is the 140058-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19616243364

19616243364 is an abundant number, since it is smaller than the sum of its proper divisors (33584020599).

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

19616243364 is an equidigital number, since it uses as much as digits as its factorization.

19616243364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 287 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 19616243364 in words is "nineteen billion, six hundred sixteen million, two hundred forty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 251 279 324 372 502 558 753 837 961 1004 1116 1506 1674 1922 2259 2511 2883 3012 3348 3844 4518 5022 5766 6777 7781 8649 9036 10044 11532 13554 15562 17298 20331 23343 25947 27108 31124 34596 40662 46686 51894 63001 70029 77841 81324 93372 103788 126002 140058 155682 189003 210087 241211 252004 280116 311364 378006 420174 482422 567009 630261 723633 756012 840348 964844 1134018 1260522 1447266 1701027 1953031 2170899 2268036 2521044 2894532 3402054 3906062 4341798 5103081 5859093 6512697 6804108 7812124 8683596 10206162 11718186 13025394 17577279 19538091 20412324 23436372 26050788 35154558 39076182 52731837 60543961 70309116 78152364 105463674 121087922 158195511 181631883 210927348 242175844 316391022 363263766 544895649 632782044 726527532 1089791298 1634686947 2179582596 3269373894 4904060841 6538747788 9808121682 19616243364