Search a number
-
+
1681102830484 = 2271131853206411
BaseRepresentation
bin11000011101101001100…
…010010111101110010100
312221201012221120010222201
4120131221202113232110
5210020344311033414
63324142111534244
7232312203200620
oct30355142275624
95851187503881
101681102830484
11598a517a3420
12231985b2a384
13c26b168cc6c
145b519b00180
152dae17e7574
hex18769897b94

1681102830484 has 96 divisors (see below), whose sum is σ = 3790635835392. Its totient is φ = 633100752000.

The previous prime is 1681102830389. The next prime is 1681102830503. The reversal of 1681102830484 is 4840382011861.

It is a super-2 number, since 2×16811028304842 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 8041239 + ... + 8247649.

It is an arithmetic number, because the mean of its divisors is an integer number (39485789952).

Almost surely, 21681102830484 is an apocalyptic number.

1681102830484 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 1681102830484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895317917696).

1681102830484 is an abundant number, since it is smaller than the sum of its proper divisors (2109533004908).

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

1681102830484 is a wasteful number, since it uses less digits than its factorization.

1681102830484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207317 (or 207315 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The spelling of 1681102830484 in words is "one trillion, six hundred eighty-one billion, one hundred two million, eight hundred thirty thousand, four hundred eighty-four".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 124 154 217 308 341 434 682 853 868 1364 1706 2387 3412 4774 5971 9383 9548 11942 18766 23884 26443 37532 52886 65681 105772 131362 185101 206411 262724 290873 370202 412822 581746 740404 825644 1163492 1444877 2036111 2270521 2889754 4072222 4541042 5779508 6398741 8144444 9082084 12797482 15893647 25594964 31787294 44791187 63574588 70386151 89582374 140772302 176068583 179164748 281544604 352137166 492703057 704274332 985406114 1232480081 1936754413 1970812228 2464960162 3873508826 4929920324 5458126073 7747017652 10916252146 13557280891 21832504292 27114561782 38206882511 54229123564 60039386803 76413765022 120078773606 152827530044 240157547212 420275707621 840551415242 1681102830484