Search a number
-
+
58068715950 = 23252753347821
BaseRepresentation
bin110110000101001010…
…100100100110101110
312112212220112102002100
4312011022210212232
51422411042402300
642402034035530
74123665640650
oct660512444656
9175786472070
1058068715950
1122699304843
12b307118ba6
1356255c206b
142b4c1a46d0
15179ce15700
hexd852a49ae

58068715950 has 144 divisors (see below), whose sum is σ = 181663256736. Its totient is φ = 13022380800.

The previous prime is 58068715921. The next prime is 58068715961. The reversal of 58068715950 is 5951786085.

58068715950 is a `hidden beast` number, since 580 + 6 + 8 + 7 + 1 + 5 + 9 + 50 = 666.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 6961 + ... + 340860.

It is an arithmetic number, because the mean of its divisors is an integer number (1261550394).

Almost surely, 258068715950 is an apocalyptic number.

58068715950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 58068715950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90831628368).

58068715950 is an abundant number, since it is smaller than the sum of its proper divisors (123594540786).

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

58068715950 is a wasteful number, since it uses less digits than its factorization.

58068715950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347899 (or 347891 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 58068715950 in words is "fifty-eight billion, sixty-eight million, seven hundred fifteen thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 53 63 70 75 90 105 106 126 150 159 175 210 225 265 315 318 350 371 450 477 525 530 630 742 795 954 1050 1113 1325 1575 1590 1855 2226 2385 2650 3150 3339 3710 3975 4770 5565 6678 7950 9275 11130 11925 16695 18550 23850 27825 33390 55650 83475 166950 347821 695642 1043463 1739105 2086926 2434747 3130389 3478210 4869494 5217315 6260778 7304241 8695525 10434630 12173735 14608482 15651945 17391050 18434513 21912723 24347470 26086575 31303890 36521205 36869026 43825446 52173150 55303539 60868675 73042410 78259725 92172565 109563615 110607078 121737350 129041591 156519450 165910617 182606025 184345130 219127230 258083182 276517695 331821234 365212050 387124773 460862825 547818075 553035390 645207955 774249546 829553085 921725650 1095636150 1161374319 1290415910 1382588475 1659106170 1935623865 2322748638 2765176950 3226039775 3871247730 4147765425 5806871595 6452079550 8295530850 9678119325 11613743190 19356238650 29034357975 58068715950