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16444010660 = 22571173146273
BaseRepresentation
bin11110101000010001…
…11011000010100100
31120110000022021220212
433110020323002210
5232134131320120
611315420114552
71121332533020
oct172410730244
946400267825
1016444010660
116a79240660
12322b095a58
131720a66a2c
14b1dd11380
1566399e6c5
hex3d423b0a4

16444010660 has 96 divisors (see below), whose sum is σ = 43643480832. Its totient is φ = 5055160320.

The previous prime is 16444010657. The next prime is 16444010717. The reversal of 16444010660 is 6601044461.

It is a super-3 number, since 3×164440106603 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39284 + ... + 185556.

It is an arithmetic number, because the mean of its divisors is an integer number (454619592).

Almost surely, 216444010660 is an apocalyptic number.

16444010660 is a gapful number since it is divisible by the number (10) 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 16444010660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21821740416).

16444010660 is an abundant number, since it is smaller than the sum of its proper divisors (27199470172).

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

16444010660 is a wasteful number, since it uses less digits than its factorization.

16444010660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146373 (or 146371 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 16444010660 in words is "sixteen billion, four hundred forty-four million, ten thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 73 77 110 140 146 154 220 292 308 365 385 511 730 770 803 1022 1460 1540 1606 2044 2555 3212 4015 5110 5621 8030 10220 11242 16060 22484 28105 56210 112420 146273 292546 585092 731365 1023911 1462730 1609003 2047822 2925460 3218006 4095644 5119555 6436012 8045015 10239110 10677929 11263021 16090030 20478220 21355858 22526042 32180060 42711716 45052084 53389645 56315105 74745503 106779290 112630210 117457219 149491006 213558580 225260420 234914438 298982012 373727515 469828876 587286095 747455030 822200533 1174572190 1494910060 1644401066 2349144380 3288802132 4111002665 8222005330 16444010660