Search a number
-
+
2190144560660 = 2257176431431149
BaseRepresentation
bin11111110111101110110…
…010011101111000010100
321202101010221101100021122
4133313232302131320110
5241340404001420120
64354045530503112
7314142552413540
oct37675662357024
97671127340248
102190144560660
117749205645a1
122b456ab94a98
1312b6b6b0c224
1478009abca20
153be860eba25
hex1fdeec9de14

2190144560660 has 96 divisors (see below), whose sum is σ = 5574203308800. Its totient is φ = 705636108288.

The previous prime is 2190144560579. The next prime is 2190144560689. The reversal of 2190144560660 is 660654410912.

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, 814766 + ... + 2245914.

It is an arithmetic number, because the mean of its divisors is an integer number (58064617800).

Almost surely, 22190144560660 is an apocalyptic number.

2190144560660 is a gapful number since it is divisible by the number (20) 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 2190144560660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787101654400).

2190144560660 is an abundant number, since it is smaller than the sum of its proper divisors (3384058748140).

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

2190144560660 is a wasteful number, since it uses less digits than its factorization.

2190144560660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431825 (or 1431823 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 2190144560660 in words is "two trillion, one hundred ninety billion, one hundred forty-four million, five hundred sixty thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 643 1190 1286 2380 2572 3215 4501 6430 9002 10931 12860 18004 21862 22505 43724 45010 54655 76517 90020 109310 153034 218620 306068 382585 765170 1431149 1530340 2862298 5724596 7155745 10018043 14311490 20036086 24329533 28622980 40072172 48659066 50090215 97318132 100180430 121647665 170306731 200360860 243295330 340613462 486590660 681226924 851533655 920228807 1703067310 1840457614 3406134620 3680915228 4601144035 6441601649 9202288070 12883203298 15643889719 18404576140 25766406596 31287779438 32208008245 62575558876 64416016490 78219448595 109507228033 128832032980 156438897190 219014456066 312877794380 438028912132 547536140165 1095072280330 2190144560660