Search a number
-
+
16460589894144 = 293112531384919
BaseRepresentation
bin1110111110001000011110…
…0111010000101000000000
32011021121122210220201002220
43233202013213100220000
54124142242003103034
655001520212011040
73316144522353264
oct357420747205000
964247583821086
1016460589894144
115276995961050
121a1a20a300a80
139252c4851606
1440c9a804a0a4
151d829ebea749
hexef8879d0a00

16460589894144 has 160 divisors (see below), whose sum is σ = 47857614773760. Its totient is φ = 4986073804800.

The previous prime is 16460589894103. The next prime is 16460589894157. The reversal of 16460589894144 is 44149898506461.

It is a super-2 number, since 2×164605898941442 (a number of 27 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 42571317 + ... + 42956235.

It is an arithmetic number, because the mean of its divisors is an integer number (299110092336).

Almost surely, 216460589894144 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 16460589894144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23928807386880).

16460589894144 is an abundant number, since it is smaller than the sum of its proper divisors (31397024879616).

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

16460589894144 is a wasteful number, since it uses less digits than its factorization.

16460589894144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387482 (or 387466 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 69.

The spelling of 16460589894144 in words is "sixteen trillion, four hundred sixty billion, five hundred eighty-nine million, eight hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2531 2816 4224 5062 5632 7593 8448 10124 15186 16896 20248 27841 30372 40496 55682 60744 80992 83523 111364 121488 161984 167046 222728 242976 323968 334092 384919 445456 485952 647936 668184 769838 890912 971904 1154757 1295872 1336368 1539676 1781824 1943808 2309514 2672736 3079352 3563648 3887616 4234109 4619028 5345472 6158704 7127296 8468218 9238056 10690944 12317408 12702327 14254592 16936436 18476112 21381888 24634816 25404654 33872872 36952224 42763776 49269632 50809308 67745744 73904448 98539264 101618616 135491488 147808896 197078528 203237232 270982976 295617792 406474464 541965952 591235584 812948928 974229989 1083931904 1625897856 1948459978 2167863808 2922689967 3251795712 3896919956 5845379934 6503591424 7793839912 10716529879 11690759868 15587679824 21433059758 23381519736 31175359648 32149589637 42866119516 46763039472 62350719296 64299179274 85732239032 93526078944 124701438592 128598358548 171464478064 187052157888 249402877184 257196717096 342928956128 374104315776 498805754368 514393434192 685857912256 748208631552 1028786868384 1371715824512 1496417263104 2057573736768 2743431649024 4115147473536 5486863298048 8230294947072 16460589894144