Search a number
-
+
16105300464 = 2431161949277
BaseRepresentation
bin11101111111111001…
…10110000111110000
31112120101222000212210
432333330312013300
5230440424103324
611222040252120
71110050536521
oct167774660760
945511860783
1016105300464
116915027680
123155771040
1316988344b6
14acad42848
15643d95d29
hex3bff361f0

16105300464 has 80 divisors (see below), whose sum is σ = 45461911680. Its totient is φ = 4872410880.

The previous prime is 16105300441. The next prime is 16105300501. The reversal of 16105300464 is 46400350161.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302194 + ... + 351470.

It is an arithmetic number, because the mean of its divisors is an integer number (568273896).

Almost surely, 216105300464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16105300464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22730955840).

16105300464 is an abundant number, since it is smaller than the sum of its proper divisors (29356611216).

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

16105300464 is a wasteful number, since it uses less digits than its factorization.

16105300464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49918 (or 49912 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 16105300464 in words is "sixteen billion, one hundred five million, three hundred thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 619 1238 1857 2476 3714 4952 6809 7428 9904 13618 14856 20427 27236 29712 40854 49277 54472 81708 98554 108944 147831 163416 197108 295662 326832 394216 542047 591324 788432 1084094 1182648 1626141 2168188 2365296 3252282 4336376 6504564 8672752 13009128 26018256 30502463 61004926 91507389 122009852 183014778 244019704 335527093 366029556 488039408 671054186 732059112 1006581279 1342108372 1464118224 2013162558 2684216744 4026325116 5368433488 8052650232 16105300464