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16105646116 = 227173072359
BaseRepresentation
bin11101111111111100…
…01010100000100100
31112120102121121000201
432333332022200210
5230441021133431
611222051520244
71110053506330
oct167776124044
945512547021
1016105646116
11691524333a
1231558b9084
131698925921
14acadd27c0
15643e13461
hex3bff8a824

16105646116 has 72 divisors (see below), whose sum is σ = 34312844160. Its totient is φ = 6457197312.

The previous prime is 16105646083. The next prime is 16105646147. The reversal of 16105646116 is 61164650161.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44862345 + ... + 44862703.

It is an arithmetic number, because the mean of its divisors is an integer number (476567280).

Almost surely, 216105646116 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 16105646116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17156422080).

16105646116 is an abundant number, since it is smaller than the sum of its proper divisors (18207198044).

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

16105646116 is a wasteful number, since it uses less digits than its factorization.

16105646116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 16105646116 in words is "sixteen billion, one hundred five million, six hundred forty-six thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 307 359 476 614 718 1228 1436 2149 2513 4298 5026 5219 6103 8596 10052 10438 12206 20876 24412 36533 42721 73066 85442 94249 110213 146132 170884 188498 220426 376996 440852 659743 771491 1319486 1542982 1602233 1873621 2638972 3085964 3204466 3747242 6408932 7494484 11215631 13115347 22431262 26230694 33835391 44862524 52461388 67670782 135341564 236847737 473695474 575201647 947390948 1150403294 2300806588 4026411529 8052823058 16105646116