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54546546054 = 237111310099001
BaseRepresentation
bin110010110011001110…
…100011110110000110
312012210102221122022110
4302303032203312012
51343202403433204
641020333441450
73640466664030
oct626316436606
9165712848273
1054546546054
1121151115430
12a6a3640286
1351b3992770
1428d64b4c50
151643ac9889
hexcb33a3d86

54546546054 has 128 divisors (see below), whose sum is σ = 146636098560. Its totient is φ = 13063680000.

The previous prime is 54546546037. The next prime is 54546546077. The reversal of 54546546054 is 45064564545.

It is a happy number.

It is a super-2 number, since 2×545465460542 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54546545994 and 54546546012.

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 63 ways as a sum of consecutive naturals, for example, 6055554 + ... + 6064554.

It is an arithmetic number, because the mean of its divisors is an integer number (1145594520).

Almost surely, 254546546054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54546546054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73318049280).

54546546054 is an abundant number, since it is smaller than the sum of its proper divisors (92089552506).

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

54546546054 is a wasteful number, since it uses less digits than its factorization.

54546546054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10046.

The product of its (nonzero) digits is 5760000, while the sum is 48.

The spelling of 54546546054 in words is "fifty-four billion, five hundred forty-six million, five hundred forty-six thousand, fifty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 1009 2002 2018 3003 3027 6006 6054 7063 9001 11099 13117 14126 18002 21189 22198 26234 27003 33297 39351 42378 54006 63007 66594 77693 78702 91819 99011 117013 126014 144287 155386 183638 189021 198022 233079 234026 275457 288574 297033 351039 378042 432861 466158 550914 594066 693077 702078 819091 865722 1010009 1287143 1386154 1638182 2020018 2079231 2457273 2574286 3030027 3861429 4158462 4914546 6060054 7722858 9010001 9082009 18020002 18164018 27030003 27246027 54060006 54492054 63574063 99902099 118066117 127148126 190722189 199804198 236132234 299706297 354198351 381444378 599412594 699314693 708396702 826462819 1298727287 1398629386 1652925638 2097944079 2479388457 2597454574 3896181861 4195888158 4958776914 7792363722 9091091009 18182182018 27273273027 54546546054