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54061354134 = 232231097011709
BaseRepresentation
bin110010010110010011…
…101100110010010110
312011112121222100010100
4302112103230302112
51341204201313014
640500242234530
73622455633234
oct622623546226
9164477870110
1054061354134
1120a22252577
12a589055a46
1351372c3858
14288bc95954
1516161d9009
hexc964ecc96

54061354134 has 96 divisors (see below), whose sum is σ = 123595243200. Its totient is φ = 17044473600.

The previous prime is 54061354129. The next prime is 54061354141. The reversal of 54061354134 is 43145316045.

54061354134 is a `hidden beast` number, since 5 + 4 + 0 + 613 + 5 + 4 + 1 + 34 = 666.

54061354134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31632472 + ... + 31634180.

It is an arithmetic number, because the mean of its divisors is an integer number (1287450450).

Almost surely, 254061354134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54061354134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61797621600).

54061354134 is an abundant number, since it is smaller than the sum of its proper divisors (69533889066).

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

54061354134 is a wasteful number, since it uses less digits than its factorization.

54061354134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 54061354134 in words is "fifty-four billion, sixty-one million, three hundred fifty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 109 138 207 218 327 414 654 701 981 1402 1709 1962 2103 2507 3418 4206 5014 5127 6309 7521 10254 12618 15042 15381 16123 22563 30762 32246 39307 45126 48369 76409 78614 96738 117921 145107 152818 186281 229227 235842 290214 353763 372562 458454 558843 687681 707526 1117686 1198009 1375362 1676529 1757407 2396018 3353058 3514814 3594027 4284463 5272221 7188054 8568926 10544442 10782081 12853389 15816663 21564162 25706778 27554207 31633326 38560167 55108414 77120334 82662621 130582981 165325242 247987863 261165962 391748943 495975726 783497886 1175246829 2350493658 3003408563 6006817126 9010225689 18020451378 27030677067 54061354134