Search a number
-
+
381506700740 = 225112223797887
BaseRepresentation
bin1011000110100111001…
…00100100010111000100
31100110201212011102121012
411203103210210113010
522222311203410430
6451132312341352
736364043310434
oct5432344442704
91313655142535
10381506700740
1113788364aa00
1261b319a4858
1329c8c160909
14146720462c4
159dcd09c695
hex58d39245c4

381506700740 has 144 divisors (see below), whose sum is σ = 886675700736. Its totient is φ = 137778812160.

The previous prime is 381506700737. The next prime is 381506700791. The reversal of 381506700740 is 47007605183.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430108577 + ... + 430109463.

It is an arithmetic number, because the mean of its divisors is an integer number (6157470144).

Almost surely, 2381506700740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381506700740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443337850368).

381506700740 is an abundant number, since it is smaller than the sum of its proper divisors (505168999996).

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

381506700740 is a wasteful number, since it uses less digits than its factorization.

381506700740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 381506700740 in words is "three hundred eighty-one billion, five hundred six million, seven hundred thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 223 242 446 484 605 797 887 892 1115 1210 1594 1774 2230 2420 2453 3188 3548 3985 4435 4460 4906 7970 8767 8870 9757 9812 12265 15940 17534 17740 19514 24530 26983 35068 39028 43835 48785 49060 53966 87670 96437 97570 107327 107932 134915 175340 177731 192874 195140 197801 214654 269830 355462 385748 395602 429308 482185 536635 539660 706939 710924 791204 888655 964370 989005 1073270 1413878 1777310 1928740 1955041 1978010 2146540 2175811 2827756 3534695 3554620 3910082 3956020 4351622 7069390 7776329 7820164 8703244 9775205 10879055 14138780 15552658 19550410 21505451 21758110 23933921 31105316 38881645 39100820 43010902 43516220 47867842 77763290 85539619 86021804 95735684 107527255 119669605 155526580 157647397 171079238 215054510 239339210 315294794 342158476 427698095 430109020 478678420 630589588 788236985 855396190 1576473970 1710792380 1734121367 3152947940 3468242734 6936485468 8670606835 17341213670 19075335037 34682427340 38150670074 76301340148 95376675185 190753350370 381506700740