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68037434244 = 223413113142949
BaseRepresentation
bin111111010111010110…
…001101101110000100
320111121122102202210000
4333113112031232010
52103320040343434
651131142201300
74626013435413
oct772726155604
9214548382700
1068037434244
11269443a33aa
1211229723230
136553979040
14341610347a
151b83194b99
hexfd758db84

68037434244 has 120 divisors (see below), whose sum is σ = 193241525400. Its totient is φ = 20749188096.

The previous prime is 68037434243. The next prime is 68037434251. The reversal of 68037434244 is 44243473086.

68037434244 is a `hidden beast` number, since 6 + 8 + 0 + 374 + 34 + 244 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1039288644 + 66998145600 = 32238^2 + 258840^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 68037434244.

It is not an unprimeable number, because it can be changed into a prime (68037434243) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 404482 + ... + 547430.

It is an arithmetic number, because the mean of its divisors is an integer number (1610346045).

Almost surely, 268037434244 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 68037434244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96620762700).

68037434244 is an abundant number, since it is smaller than the sum of its proper divisors (125204091156).

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

68037434244 is a wasteful number, since it uses less digits than its factorization.

68037434244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143091 (or 143080 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 68037434244 in words is "sixty-eight billion, thirty-seven million, four hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 113 117 156 162 226 234 324 339 351 452 468 678 702 1017 1053 1356 1404 1469 2034 2106 2938 3051 4068 4212 4407 5876 6102 8814 9153 12204 13221 17628 18306 26442 36612 39663 52884 79326 118989 142949 158652 237978 285898 428847 475956 571796 857694 1286541 1715388 1858337 2573082 3716674 3859623 5146164 5575011 7433348 7719246 11150022 11578869 15438492 16153237 16725033 22300044 23157738 32306474 33450066 46315476 48459711 50175099 64612948 66900132 96919422 100350198 145379133 150525297 193838844 200700396 209992081 290758266 301050594 419984162 436137399 581516532 602101188 629976243 839968324 872274798 1259952486 1308412197 1744549596 1889928729 2519904972 2616824394 3779857458 5233648788 5669786187 7559714916 11339572374 17009358561 22679144748 34018717122 68037434244