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55535989641120 = 2532538566659473
BaseRepresentation
bin11001010000010011110101…
…11011110100111110100000
321021122012002121100022010200
430220021322323310332200
524234400201322003440
6314040514220025200
714461225411104222
oct1450117273647640
9237565077308120
1055535989641120
11167717543720aa
12628b2b6692200
1324cb037ba9b31
14d9dd55cd2412
1566494287bc30
hex32827aef4fa0

55535989641120 has 72 divisors (see below), whose sum is σ = 189516564655236. Its totient is φ = 14809597237248.

The previous prime is 55535989641103. The next prime is 55535989641137. The reversal of 55535989641120 is 2114698953555.

55535989641120 is a `hidden beast` number, since 5 + 5 + 5 + 3 + 598 + 9 + 6 + 4 + 11 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (55535989641103) and next prime (55535989641137).

It can be written as a sum of positive squares in 2 ways, for example, as 50826690352656 + 4709299288464 = 7129284^2 + 2170092^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×555359896411202 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19283328297 + ... + 19283331176.

Almost surely, 255535989641120 is an apocalyptic number.

It is an amenable number.

55535989641120 is an abundant number, since it is smaller than the sum of its proper divisors (133980575014116).

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

55535989641120 is a wasteful number, since it uses less digits than its factorization.

55535989641120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38566659494 (or 38566659483 counting only the distinct ones).

The product of its (nonzero) digits is 58320000, while the sum is 63.

The spelling of 55535989641120 in words is "fifty-five trillion, five hundred thirty-five billion, nine hundred eighty-nine million, six hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 38566659473 77133318946 115699978419 154266637892 192833297365 231399956838 308533275784 347099935257 385666594730 462799913676 578499892095 617066551568 694199870514 771333189460 925599827352 1156999784190 1234133103136 1388399741028 1542666378920 1735499676285 1851199654704 2313999568380 2776799482056 3085332757840 3470999352570 3702399309408 4627999136760 5553598964112 6170665515680 6941998705140 9255998273520 11107197928224 13883997410280 18511996547040 27767994820560 55535989641120