Search a number
-
+
5461305145062 = 2313196189678779
BaseRepresentation
bin100111101111000111100…
…1001110011011011100110
3201100002120202010112121020
41033132033021303123212
51203434223104120222
615340520002432010
71102365142540404
oct117361711633346
921302522115536
105461305145062
1118161434187a8
12742530062606
13307cca679570
1414c48589c474
15970db22765c
hex4f78f2736e6

5461305145062 has 128 divisors (see below), whose sum is σ = 12726310464000. Its totient is φ = 1548265466880.

The previous prime is 5461305145057. The next prime is 5461305145067. The reversal of 5461305145062 is 2605415031645.

It is an interprime number because it is at equal distance from previous prime (5461305145057) and next prime (5461305145067).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5461305145067) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7706389 + ... + 8385167.

It is an arithmetic number, because the mean of its divisors is an integer number (99424300500).

Almost surely, 25461305145062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5461305145062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6363155232000).

5461305145062 is an abundant number, since it is smaller than the sum of its proper divisors (7265005318938).

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

5461305145062 is a wasteful number, since it uses less digits than its factorization.

5461305145062 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678966.

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 5461305145062 in words is "five trillion, four hundred sixty-one billion, three hundred five million, one hundred forty-five thousand, sixty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 61 78 89 114 122 178 183 247 267 366 494 534 741 793 1157 1159 1482 1586 1691 2314 2318 2379 3382 3471 3477 4758 5073 5429 6942 6954 10146 10858 15067 16287 21983 30134 32574 43966 45201 65949 70577 90402 103151 131898 141154 206302 211731 309453 423462 618906 678779 1340963 1357558 2036337 2681926 4022889 4072674 8045778 8824127 12896801 17648254 25793602 26472381 38690403 41405519 52944762 60411331 77380806 82811038 120822662 124216557 167658413 181233993 248433114 335316826 362467986 502975239 538271747 785347303 786704861 1005950478 1076543494 1147815289 1570694606 1573409722 1614815241 2295630578 2356041909 2360114583 3229630482 3443445867 3685091191 4712083818 4720229166 6886891734 7370182382 10227163193 11055273573 14921598757 20454326386 22110547146 29843197514 30681489579 44764796271 47906185483 61362979158 70016732629 89529592542 95812370966 140033465258 143718556449 210050197887 287437112898 420100395774 910217524177 1820435048354 2730652572531 5461305145062