Search a number
-
+
55555100055616 = 2671091901598463
BaseRepresentation
bin11001010000110111011100…
…00000010001100001000000
321021201000102102221221111011
430220123232000101201000
524240203321103234431
6314053354410330304
714462503111666330
oct1450335600214100
9237630372857434
1055555100055616
1116779870732397
126292b4a729994
1324cca921964c5
14da0c49dad0c0
156651b0476cb1
hex3286ee011840

55555100055616 has 112 divisors (see below), whose sum is σ = 127214008289280. Its totient is φ = 23578445260800.

The previous prime is 55555100055613. The next prime is 55555100055617. The reversal of 55555100055616 is 61655000155555.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 55555100055616.

It is not an unprimeable number, because it can be changed into a prime (55555100055613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92530401 + ... + 93128863.

Almost surely, 255555100055616 is an apocalyptic number.

55555100055616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55555100055616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63607004144640).

55555100055616 is an abundant number, since it is smaller than the sum of its proper divisors (71658908233664).

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

55555100055616 is a wasteful number, since it uses less digits than its factorization.

55555100055616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600492 (or 600482 counting only the distinct ones).

The product of its (nonzero) digits is 2812500, while the sum is 49.

The spelling of 55555100055616 in words is "fifty-five trillion, five hundred fifty-five billion, one hundred million, fifty-five thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 109 112 218 224 436 448 763 872 1526 1744 1901 3052 3488 3802 6104 6976 7604 12208 13307 15208 24416 26614 30416 48832 53228 60832 106456 121664 207209 212912 414418 425824 598463 828836 851648 1196926 1450463 1657672 2393852 2900926 3315344 4189241 4787704 5801852 6630688 8378482 9575408 11603704 13261376 16756964 19150816 23207408 33513928 38301632 46414816 65232467 67027856 92829632 130464934 134055712 260929868 268111424 456627269 521859736 913254538 1043719472 1137678163 1826509076 2087438944 2275356326 3653018152 4174877888 4550712652 7306036304 7963747141 9101425304 14612072608 15927494282 18202850608 29224145216 31854988564 36405701216 63709977128 72811402432 124006919767 127419954256 248013839534 254839908512 496027679068 509679817024 868048438369 992055358136 1736096876738 1984110716272 3472193753476 3968221432544 6944387506952 7936442865088 13888775013904 27777550027808 55555100055616