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55194182016 = 273614914799
BaseRepresentation
bin110011011001110101…
…000110000110000000
312021110120120221211120
4303121311012012000
51401014202311031
641204510512240
73662522543361
oct633165060600
9167416527746
1055194182016
1121453749966
12a844505680
135287bc96cc
1429584dbb68
1516808a6a96
hexcd9d46180

55194182016 has 128 divisors (see below), whose sum is σ = 149347584000. Its totient is φ = 18055833600.

The previous prime is 55194182003. The next prime is 55194182027. The reversal of 55194182016 is 61028149155.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 11498785 + ... + 11503583.

It is an arithmetic number, because the mean of its divisors is an integer number (1166778000).

Almost surely, 255194182016 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 55194182016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74673792000).

55194182016 is an abundant number, since it is smaller than the sum of its proper divisors (94153401984).

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

55194182016 is a wasteful number, since it uses less digits than its factorization.

55194182016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5368 (or 5356 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The spelling of 55194182016 in words is "fifty-five billion, one hundred ninety-four million, one hundred eighty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 366 384 488 491 732 976 982 1464 1473 1952 1964 2928 2946 3904 3928 4799 5856 5892 7808 7856 9598 11712 11784 14397 15712 19196 23424 23568 28794 29951 31424 38392 47136 57588 59902 62848 76784 89853 94272 115176 119804 153568 179706 188544 230352 239608 292739 307136 359412 460704 479216 585478 614272 718824 878217 921408 958432 1170956 1437648 1756434 1842816 1916864 2341912 2356309 2875296 3512868 3833728 4683824 4712618 5750592 7025736 7068927 9367648 9425236 11501184 14051472 14137854 18735296 18850472 28102944 28275708 37470592 37700944 56205888 56551416 75401888 112411776 113102832 143734849 150803776 226205664 287469698 301607552 431204547 452411328 574939396 862409094 904822656 1149878792 1724818188 2299757584 3449636376 4599515168 6899272752 9199030336 13798545504 18398060672 27597091008 55194182016