Search a number
-
+
45252752030412 = 223233591033442121
BaseRepresentation
bin10100100101000001110100…
…01101011011101011001100
312221020010021002120121212020
422102200322031123223030
521412410114004433122
6240124454410010140
712350255244444003
oct1222407215335314
9187203232517766
1045252752030412
1113467647869a83
1250aa353116950
131c33415920974
14b2635dd6bc3a
155371dbb68c5c
hex29283a35bacc

45252752030412 has 96 divisors (see below), whose sum is σ = 110594731484160. Its totient is φ = 14374262031360.

The previous prime is 45252752030407. The next prime is 45252752030417. The reversal of 45252752030412 is 21403025725254.

It is an interprime number because it is at equal distance from previous prime (45252752030407) and next prime (45252752030417).

It is not an unprimeable number, because it can be changed into a prime (45252752030417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102132712 + ... + 102574832.

It is an arithmetic number, because the mean of its divisors is an integer number (1152028452960).

Almost surely, 245252752030412 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 45252752030412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55297365742080).

45252752030412 is an abundant number, since it is smaller than the sum of its proper divisors (65341979453748).

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

45252752030412 is a wasteful number, since it uses less digits than its factorization.

45252752030412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443543 (or 443541 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 42.

Adding to 45252752030412 its reverse (21403025725254), we get a palindrome (66655777755666).

The spelling of 45252752030412 in words is "forty-five trillion, two hundred fifty-two billion, seven hundred fifty-two million, thirty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 359 718 1033 1077 1436 2066 2154 3099 4132 4308 6198 8257 12396 16514 23759 24771 33028 47518 49542 71277 95036 99084 142554 285108 370847 442121 741694 884242 1112541 1326363 1483388 1768484 2225082 2652726 4450164 5305452 8529481 10168783 17058962 20337566 25588443 30506349 34117924 40675132 51176886 61012698 102353772 122025396 158721439 317442878 456710993 476164317 634885756 913421986 952328634 1370132979 1826843972 1904657268 2740265958 3650593097 5480531916 7301186194 10504352839 10951779291 14602372388 21008705678 21903558582 31513058517 42017411356 43807117164 63026117034 126052234068 163959246487 327918492974 491877739461 655836985948 983755478922 1967510957844 3771062669201 7542125338402 11313188007603 15084250676804 22626376015206 45252752030412