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60055106004 = 22323153812819
BaseRepresentation
bin110111111011100100…
…000011000111010100
312202000100021110222100
4313323210003013110
51440443101343004
643331113202100
74224135656415
oct677344030724
9182010243870
1060055106004
11235185a6013
12b780400330
135880cb26aa
142c99d1980c
1518674da739
hexdfb9031d4

60055106004 has 36 divisors (see below), whose sum is σ = 156702931840. Its totient is φ = 19372614480.

The previous prime is 60055105963. The next prime is 60055106021. The reversal of 60055106004 is 40060155006.

It is a happy number.

60055106004 is a `hidden beast` number, since 6 + 0 + 0 + 5 + 51 + 0 + 600 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26905294 + ... + 26907525.

Almost surely, 260055106004 is an apocalyptic number.

It is an amenable number.

60055106004 is an abundant number, since it is smaller than the sum of its proper divisors (96647825836).

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

60055106004 is a wasteful number, since it uses less digits than its factorization.

60055106004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53812860 (or 53812855 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 60055106004 in words is "sixty billion, fifty-five million, one hundred six thousand, four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 53812819 107625638 161438457 215251276 322876914 484315371 645753828 968630742 1668197389 1937261484 3336394778 5004592167 6672789556 10009184334 15013776501 20018368668 30027553002 60055106004