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54063161316 = 2234478594133
BaseRepresentation
bin110010010110011010…
…100101111111100100
312011112202101011010000
4302112122211333210
51341210132130231
640500345101300
73622510201053
oct622632457744
9164482334100
1054063161316
1120a2327730a
12a589787830
1351377a72a8
14288c20639a
1516164446e6
hexc966a5fe4

54063161316 has 120 divisors (see below), whose sum is σ = 144541837440. Its totient is φ = 17612831808.

The previous prime is 54063161311. The next prime is 54063161329. The reversal of 54063161316 is 61316136045.

54063161316 is a `hidden beast` number, since 5 + 4 + 0 + 6 + 31 + 613 + 1 + 6 = 666.

It is a super-2 number, since 2×540631613162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54063161311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13078786 + ... + 13082918.

It is an arithmetic number, because the mean of its divisors is an integer number (1204515312).

Almost surely, 254063161316 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 54063161316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72270918720).

54063161316 is an abundant number, since it is smaller than the sum of its proper divisors (90478676124).

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

54063161316 is a wasteful number, since it uses less digits than its factorization.

54063161316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5055 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 54063161316 in words is "fifty-four billion, sixty-three million, one hundred sixty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 282 324 423 564 846 859 1269 1692 1718 2538 2577 3436 3807 4133 5076 5154 7614 7731 8266 10308 12399 15228 15462 16532 23193 24798 30924 37197 40373 46386 49596 69579 74394 80746 92772 111591 121119 139158 148788 161492 194251 223182 242238 278316 334773 363357 388502 446364 484476 582753 669546 726714 777004 1090071 1165506 1339092 1453428 1748259 2180142 2331012 3270213 3496518 3550247 4360284 5244777 6540426 6993036 7100494 10489554 10650741 13080852 14200988 15734331 20979108 21301482 31468662 31952223 42602964 62937324 63904446 95856669 127808892 166861609 191713338 287570007 333723218 383426676 500584827 575140014 667446436 1001169654 1150280028 1501754481 2002339308 3003508962 4505263443 6007017924 9010526886 13515790329 18021053772 27031580658 54063161316