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55487848032 = 25322693072333
BaseRepresentation
bin110011101011010101…
…010101111001100000
312022020001011201212200
4303223111111321200
51402114342114112
641254001053200
74003016632461
oct635325257140
9168201151780
1055487848032
1121594497551
12a906927200
1353039ba496
142985502d68
15169b563cdc
hexceb555e60

55487848032 has 144 divisors (see below), whose sum is σ = 158964165360. Its totient is φ = 18359294976.

The previous prime is 55487847973. The next prime is 55487848051. The reversal of 55487848032 is 23084878455.

55487848032 is a `hidden beast` number, since 5 + 5 + 487 + 84 + 80 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 55487848032.

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 23 ways as a sum of consecutive naturals, for example, 23782738 + ... + 23785070.

It is an arithmetic number, because the mean of its divisors is an integer number (1103917815).

Almost surely, 255487848032 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 55487848032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79482082680).

55487848032 is an abundant number, since it is smaller than the sum of its proper divisors (103476317328).

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

55487848032 is a wasteful number, since it uses less digits than its factorization.

55487848032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 55487848032 in words is "fifty-five billion, four hundred eighty-seven million, eight hundred forty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 269 288 307 538 614 807 921 1076 1228 1614 1842 2152 2333 2421 2456 2763 3228 3684 4304 4666 4842 4912 5526 6456 6999 7368 8608 9332 9684 9824 11052 12912 13998 14736 18664 19368 20997 22104 25824 27996 29472 37328 38736 41994 44208 55992 74656 77472 82583 83988 88416 111984 165166 167976 223968 247749 330332 335952 495498 627577 660664 671904 716231 743247 990996 1255154 1321328 1432462 1486494 1882731 1981992 2148693 2510308 2642656 2864924 2972988 3765462 3963984 4297386 5020616 5648193 5729848 5945976 6446079 7530924 7927968 8594772 10041232 11296386 11459696 11891952 12892158 15061848 17189544 20082464 22592772 22919392 23783904 25784316 30123696 34379088 45185544 51568632 60247392 68758176 90371088 103137264 180742176 192666139 206274528 385332278 577998417 770664556 1155996834 1541329112 1733995251 2311993668 3082658224 3467990502 4623987336 6165316448 6935981004 9247974672 13871962008 18495949344 27743924016 55487848032