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57147534316134 = 236149499527173
BaseRepresentation
bin11001111111001101100100…
…11110111001001001100110
321111100020202220222001000000
430333212302132321021212
524442301122241104014
6321313114223202130
715015526113610023
oct1477466236711146
9244306686861000
1057147534316134
1117233151319819
1264ab6a9746346
1325b6cb2825002
141017d5395454a
15691812740509
hex33f9b27b9266

57147534316134 has 112 divisors (see below), whose sum is σ = 129645265950000. Its totient is φ = 18883376952768.

The previous prime is 57147534316109. The next prime is 57147534316183. The reversal of 57147534316134 is 43161343574175.

It is a happy number.

57147534316134 is a `hidden beast` number, since 5 + 7 + 1 + 4 + 75 + 3 + 431 + 6 + 134 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 108140172 + ... + 108667344.

Almost surely, 257147534316134 is an apocalyptic number.

57147534316134 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57147534316134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64822632975000).

57147534316134 is an abundant number, since it is smaller than the sum of its proper divisors (72497731633866).

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

57147534316134 is a wasteful number, since it uses less digits than its factorization.

57147534316134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527841 (or 527826 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The spelling of 57147534316134 in words is "fifty-seven trillion, one hundred forty-seven billion, five hundred thirty-four million, three hundred sixteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 149 162 243 298 447 486 499 729 894 998 1341 1458 1497 2682 2994 4023 4491 8046 8982 12069 13473 24138 26946 36207 40419 72414 74351 80838 108621 121257 148702 217242 223053 242514 363771 446106 527173 669159 727542 1054346 1338318 1581519 2007477 3163038 4014954 4744557 6022431 9489114 12044862 14233671 18067293 28467342 36134586 42701013 54201879 78548777 85402026 108403758 128103039 157097554 235646331 256206078 263059327 384309117 471292662 526118654 706938993 768618234 789177981 1413877986 1578355962 2120816979 2367533943 4241633958 4735067886 6362450937 7102601829 12724901874 14205203658 19087352811 21307805487 38174705622 39195839723 42615610974 57262058433 63923416461 78391679446 114524116866 117587519169 127846832922 191770249383 235175038338 352762557507 383540498766 705525115014 1058287672521 2116575345042 3174863017563 6349726035126 9524589052689 19049178105378 28573767158067 57147534316134