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16552880964 = 22324125232
BaseRepresentation
bin11110110101010000…
…01110101101000100
31120201121011110220100
433122220032231010
5232400014142324
611334305404100
71124124111114
oct173250165504
946647143810
1016552880964
117024740514
12325b639630
13173a494b29
14b30571044
1566d3074c9
hex3daa0eb44

16552880964 has 81 divisors (see below), whose sum is σ = 42969592029. Its totient is φ = 5372758080.

The previous prime is 16552880951. The next prime is 16552880987. The reversal of 16552880964 is 46908825561.

The square root of 16552880964 is 128658.

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

16552880964 is a `hidden beast` number, since 1 + 6 + 552 + 8 + 80 + 9 + 6 + 4 = 666.

16552880964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 797610564 + 15755270400 = 28242^2 + 125520^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 16552880964.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31649607 + ... + 31650129.

Almost surely, 216552880964 is an apocalyptic number.

16552880964 is the 128658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16552880964

16552880964 is an abundant number, since it is smaller than the sum of its proper divisors (26416711065).

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

16552880964 is an equidigital number, since it uses as much as digits as its factorization.

16552880964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 16552880964 in words is "sixteen billion, five hundred fifty-two million, eight hundred eighty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 523 738 1046 1476 1569 1681 2092 3138 3362 4707 5043 6276 6724 9414 10086 15129 18828 20172 21443 30258 42886 60516 64329 85772 128658 192987 257316 273529 385974 547058 771948 820587 879163 1094116 1641174 1758326 2461761 2637489 3282348 3516652 4923522 5274978 7912467 9847044 10549956 11214689 15824934 22429378 31649868 33644067 44858756 67288134 100932201 134576268 201864402 403728804 459802249 919604498 1379406747 1839208996 2758813494 4138220241 5517626988 8276440482 16552880964