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54555632956 = 2211471131571487
BaseRepresentation
bin110010110011110001…
…001110010100111100
312012211002001022012101
4302303301032110330
51343212220223311
641021300314444
73640640141326
oct626361162474
9165732038171
1054555632956
1121156261570
12a6a66a2a24
1351b5824826
1428d779c616
1516447c1ec1
hexcb3c4e53c

54555632956 has 96 divisors (see below), whose sum is σ = 108065083392. Its totient is φ = 23886320640.

The previous prime is 54555632939. The next prime is 54555632981. The reversal of 54555632956 is 65923655545.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 54555632897 and 54555632906.

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 31 ways as a sum of consecutive naturals, for example, 36687645 + ... + 36689131.

It is an arithmetic number, because the mean of its divisors is an integer number (1125677952).

Almost surely, 254555632956 is an apocalyptic number.

It is an amenable number.

54555632956 is a deficient number, since it is larger than the sum of its proper divisors (53509450436).

54555632956 is a wasteful number, since it uses less digits than its factorization.

54555632956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1817 counting only the distinct ones).

The product of its digits is 24300000, while the sum is 55.

The spelling of 54555632956 in words is "fifty-four billion, five hundred fifty-five million, six hundred thirty-two thousand, nine hundred fifty-six".

Divisors: 1 2 4 11 22 44 47 94 113 157 188 226 314 452 517 628 1034 1243 1487 1727 2068 2486 2974 3454 4972 5311 5948 6908 7379 10622 14758 16357 17741 21244 29516 32714 35482 58421 65428 69889 70964 81169 116842 139778 162338 168031 195151 233459 233684 279556 324676 336062 390302 466918 672124 768779 780604 833827 933836 1537558 1667654 1848341 2568049 3075116 3335308 3696682 5136098 7393364 7897457 9172097 10272196 10972573 15794914 18344194 21945146 26380867 31589828 36688388 43890292 52761734 86872027 105523468 120698303 173744054 241396606 290189537 347488108 482793212 580379074 1160758148 1239900749 2479801498 4959602996 13638908239 27277816478 54555632956