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16005074484 = 22371014214481
BaseRepresentation
bin11101110011111101…
…00000111000110100
31112022102101000200110
432321332200320310
5230234244340414
611204100143020
71104422613510
oct167176407064
945272330613
1016005074484
1168734a1393
123128097a70
131680b41b99
14abb8d3140
1563a199459
hex3b9fa0e34

16005074484 has 96 divisors (see below), whose sum is σ = 43214798592. Its totient is φ = 4515840000.

The previous prime is 16005074447. The next prime is 16005074539. The reversal of 16005074484 is 48447050061.

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 31 ways as a sum of consecutive naturals, for example, 3569524 + ... + 3574004.

It is an arithmetic number, because the mean of its divisors is an integer number (450154152).

Almost surely, 216005074484 is an apocalyptic number.

16005074484 is a gapful number since it is divisible by the number (14) 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 16005074484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21607399296).

16005074484 is an abundant number, since it is smaller than the sum of its proper divisors (27209724108).

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

16005074484 is a wasteful number, since it uses less digits than its factorization.

16005074484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5017 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 16005074484 in words is "sixteen billion, five million, seventy-four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 303 404 421 606 707 842 1212 1263 1414 1684 2121 2526 2828 2947 4242 4481 5052 5894 8484 8841 8962 11788 13443 17682 17924 26886 31367 35364 42521 53772 62734 85042 94101 125468 127563 170084 188202 255126 297647 376404 452581 510252 595294 892941 905162 1190588 1357743 1785882 1810324 1886501 2715486 3168067 3571764 3773002 5430972 5659503 6336134 7546004 9504201 11319006 12672268 13205507 19008402 22638012 26411014 38016804 39616521 52822028 79233042 158466084 190536601 381073202 571609803 762146404 1143219606 1333756207 2286439212 2667512414 4001268621 5335024828 8002537242 16005074484