Search a number
-
+
4663411127160 = 2335181880724379
BaseRepresentation
bin100001111011100100011…
…1101101011001101111000
3121111211002010202202221120
41003313020331223031320
51102401131222032120
613530201432505240
7660630450356022
oct103671075531570
917454063682846
104663411127160
111538818008585
12633972b4b220
1327a9b0b03856
141219d30dd012
158148cc80140
hex43dc8f6b378

4663411127160 has 128 divisors (see below), whose sum is σ = 14069701900800. Its totient is φ = 1236514567680.

The previous prime is 4663411127143. The next prime is 4663411127189. The reversal of 4663411127160 is 617211143664.

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, 191275851 + ... + 191300229.

It is an arithmetic number, because the mean of its divisors is an integer number (109919546100).

Almost surely, 24663411127160 is an apocalyptic number.

4663411127160 is a gapful number since it is divisible by the number (40) 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 4663411127160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7034850950400).

4663411127160 is an abundant number, since it is smaller than the sum of its proper divisors (9406290773640).

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

4663411127160 is a wasteful number, since it uses less digits than its factorization.

4663411127160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33381 (or 33377 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 4663411127160 in words is "four trillion, six hundred sixty-three billion, four hundred eleven million, one hundred twenty-seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 181 362 543 724 905 1086 1448 1810 2172 2715 3620 4344 5430 7240 8807 10860 17614 21720 24379 26421 35228 44035 48758 52842 70456 73137 88070 97516 105684 121895 132105 146274 176140 195032 211368 243790 264210 292548 352280 365685 487580 528420 585096 731370 975160 1056840 1462740 1594067 2925480 3188134 4412599 4782201 6376268 7970335 8825198 9564402 12752536 13237797 15940670 17650396 19128804 22062995 23911005 26475594 31881340 35300792 38257608 44125990 47822010 52951188 63762680 66188985 88251980 95644020 105902376 132377970 176503960 191288040 214705853 264755940 429411706 529511880 644117559 858823412 1073529265 1288235118 1717646824 2147058530 2576470236 3220587795 4294117060 5152940472 6441175590 8588234120 12882351180 25764702360 38861759393 77723518786 116585278179 155447037572 194308796965 233170556358 310894075144 388617593930 466341112716 582926390895 777235187860 932682225432 1165852781790 1554470375720 2331705563580 4663411127160