Search a number
-
+
1698666612642 = 233311738237127
BaseRepresentation
bin11000101110000000011…
…010111000011110100010
320000101112222220201122000
4120232000122320132202
5210312332123101032
63340205012424430
7233503353654606
oct30560032703642
96011488821560
101698666612642
115a544502296a
12235268018116
13c425040aa7c
145c304619506
152e2bd735e7c
hex18b806b87a2

1698666612642 has 128 divisors (see below), whose sum is σ = 3924419051520. Its totient is φ = 544051287360.

The previous prime is 1698666612607. The next prime is 1698666612679. The reversal of 1698666612642 is 2462166668961.

It is a self number, because there is not a number n which added to its sum of digits gives 1698666612642.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 238338883 + ... + 238346009.

It is an arithmetic number, because the mean of its divisors is an integer number (30659523840).

Almost surely, 21698666612642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1698666612642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962209525760).

1698666612642 is an abundant number, since it is smaller than the sum of its proper divisors (2225752438878).

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

1698666612642 is a wasteful number, since it uses less digits than its factorization.

1698666612642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8165 (or 8159 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 1698666612642 in words is "one trillion, six hundred ninety-eight billion, six hundred sixty-six million, six hundred twelve thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 173 186 279 346 519 558 823 837 1038 1557 1646 1674 2469 3114 4671 4938 5363 7127 7407 9342 10726 14254 14814 16089 21381 22221 25513 32178 42762 44442 48267 51026 64143 76539 96534 128286 142379 144801 153078 192429 220937 229617 284758 289602 384858 427137 441874 459234 662811 688851 854274 1232971 1281411 1325622 1377702 1988433 2465942 2562822 3698913 3844233 3976866 4413749 5865521 5965299 7397826 7688466 8827498 11096739 11731042 11930598 13241247 17596563 22193478 26482494 33290217 35193126 38222101 39723741 52789689 66580434 76444202 79447482 105579378 114666303 119171223 158369067 181831151 229332606 238342446 316738134 343998909 363662302 545493453 687997818 1014735133 1031996727 1090986906 1636480359 2029470266 2063993454 3044205399 3272960718 4909441077 6088410798 9132616197 9818882154 18265232394 27397848591 31456789123 54795697182 62913578246 94370367369 188740734738 283111102107 566222204214 849333306321 1698666612642