Search a number
-
+
541883163305024 = 26611095237243157
BaseRepresentation
bin111101100110101110000000…
…1011101010110010001000000
32122001122112011100111102220222
41323031130001131112101000
51032011203204301230044
65200253404423122212
7222065523641142632
oct17315340135262100
92561575140442828
10541883163305024
1114772a3a4903482
1250938706ba3368
131a349494799878
1497b53dc234a52
15429a9581e28ee
hex1ecd701756440

541883163305024 has 112 divisors (see below), whose sum is σ = 1103169261688560. Its totient is φ = 264003456245760.

The previous prime is 541883163305017. The next prime is 541883163305047. The reversal of 541883163305024 is 420503361388145.

It can be written as a sum of positive squares in 8 ways, for example, as 4312599822400 + 537570563482624 = 2076680^2 + 23185568^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2228410454 + ... + 2228653610.

Almost surely, 2541883163305024 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 541883163305024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551584630844280).

541883163305024 is an abundant number, since it is smaller than the sum of its proper divisors (561286098383536).

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

541883163305024 is a wasteful number, since it uses less digits than its factorization.

541883163305024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248576 (or 248566 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 53.

The spelling of 541883163305024 in words is "five hundred forty-one trillion, eight hundred eighty-three billion, one hundred sixty-three million, three hundred five thousand, twenty-four".

Divisors: 1 2 4 8 16 32 61 64 109 122 218 244 436 488 872 976 1744 1952 3488 3904 5237 6649 6976 10474 13298 20948 26596 41896 53192 83792 106384 167584 212768 243157 319457 335168 425536 486314 570833 638914 972628 1141666 1277828 1945256 2283332 2555656 3890512 4566664 5111312 7781024 9133328 10222624 14832577 15562048 18266656 20445248 26504113 29665154 34820813 36533312 53008226 59330308 69641626 106016452 118660616 139283252 212032904 237321232 278566504 424065808 474642464 557133008 848131616 949284928 1114266016 1273413209 1616750893 1696263232 2228532032 2546826418 3233501786 5093652836 6467003572 10187305672 12934007144 20374611344 25868014288 40749222688 51736028576 77678205749 81498445376 103472057152 138802039781 155356411498 277604079562 310712822996 555208159124 621425645992 1110416318248 1242851291984 2220832636496 2485702583968 4441665272992 4971405167936 8466924426641 8883330545984 16933848853282 33867697706564 67735395413128 135470790826256 270941581652512 541883163305024