Search a number
-
+
16061205056 = 261317266797
BaseRepresentation
bin11101111010101001…
…01000101001000000
31112110022222202100112
432331110220221000
5230343132030211
611213423210452
71106003663501
oct167524505100
945408882315
1016061205056
1168a214a096
123142a46a28
13168c665840
14ac5144ba8
1564008588b
hex3bd528a40

16061205056 has 84 divisors (see below), whose sum is σ = 36461421108. Its totient is φ = 6976708608.

The previous prime is 16061204983. The next prime is 16061205091. The reversal of 16061205056 is 65050216061.

It can be written as a sum of positive squares in 6 ways, for example, as 43771456 + 16017433600 = 6616^2 + 126560^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207050 + ... + 273846.

It is an arithmetic number, because the mean of its divisors is an integer number (434064537).

Almost surely, 216061205056 is an apocalyptic number.

16061205056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16061205056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18230710554).

16061205056 is an abundant number, since it is smaller than the sum of its proper divisors (20400216052).

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

16061205056 is a wasteful number, since it uses less digits than its factorization.

16061205056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66856 (or 66829 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The spelling of 16061205056 in words is "sixteen billion, sixty-one million, two hundred five thousand, fifty-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 289 416 442 544 578 832 884 1088 1156 1768 2312 3536 3757 4624 7072 7514 9248 14144 15028 18496 30056 60112 66797 120224 133594 240448 267188 534376 868361 1068752 1135549 1736722 2137504 2271098 3473444 4275008 4542196 6946888 9084392 13893776 14762137 18168784 19304333 27787552 29524274 36337568 38608666 55575104 59048548 72675136 77217332 118097096 154434664 236194192 250956329 308869328 472388384 501912658 617738656 944776768 1003825316 1235477312 2007650632 4015301264 8030602528 16061205056