Search a number
-
+
12050210718140 = 2257531663976559
BaseRepresentation
bin1010111101011010100010…
…0001111000000110111100
31120122222200220101212100212
42233112220201320012330
53034412312420440030
641343442420011552
72352412312042610
oct257265041700674
946588626355325
1012050210718140
113926513890581
1214274b3230bb8
13695439cca2aa
142d933a2c1340
1515d6c103a595
hexaf5a88781bc

12050210718140 has 96 divisors (see below), whose sum is σ = 29483924520960. Its totient is φ = 4051106332416.

The previous prime is 12050210718103. The next prime is 12050210718163. The reversal of 12050210718140 is 4181701205021.

12050210718140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120502107181402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12050210718097 and 12050210718106.

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, 11851181 + ... + 12827739.

It is an arithmetic number, because the mean of its divisors is an integer number (307124213760).

Almost surely, 212050210718140 is an apocalyptic number.

12050210718140 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 12050210718140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14741962260480).

12050210718140 is an abundant number, since it is smaller than the sum of its proper divisors (17433713802820).

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

12050210718140 is a wasteful number, since it uses less digits than its factorization.

12050210718140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978291 (or 978289 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 32.

The spelling of 12050210718140 in words is "twelve trillion, fifty billion, two hundred ten million, seven hundred eighteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1663 1855 3326 3710 6652 7420 8315 11641 16630 23282 33260 46564 58205 88139 116410 176278 232820 352556 440695 616973 881390 976559 1233946 1762780 1953118 2467892 3084865 3906236 4882795 6169730 6835913 9765590 12339460 13671826 19531180 27343652 34179565 51757627 68359130 103515254 136718260 207030508 258788135 362303389 517576270 724606778 1035152540 1449213556 1624017617 1811516945 3248035234 3623033890 6496070468 7246067780 8120088085 11368123319 16240176170 22736246638 32480352340 45472493276 56840616595 86072933701 113681233190 172145867402 227362466380 344291734804 430364668505 602510535907 860729337010 1205021071814 1721458674020 2410042143628 3012552679535 6025105359070 12050210718140