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54148720540680 = 23325199755844787
BaseRepresentation
bin11000100111111011110110…
…10000001011110000001000
321002201120022102210012201100
430103331323100023300020
524044133034424300210
6311055325004421400
714256054526235343
oct1423757320136010
9232646272705640
1054148720540680
1116287386100107
1260a6474b47860
13242a2829a542c
14d52b5240345a
1563d7ec2155c0
hex313f7b40bc08

54148720540680 has 96 divisors (see below), whose sum is σ = 176867680392000. Its totient is φ = 14367097692288.

The previous prime is 54148720540679. The next prime is 54148720540687. The reversal of 54148720540680 is 8604502784145.

54148720540680 is a `hidden beast` number, since 5 + 4 + 14 + 8 + 7 + 2 + 0 + 540 + 6 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (54148720540687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377850754 + ... + 377994033.

It is an arithmetic number, because the mean of its divisors is an integer number (1842371670750).

Almost surely, 254148720540680 is an apocalyptic number.

It is an amenable number.

54148720540680 is an abundant number, since it is smaller than the sum of its proper divisors (122718959851320).

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

54148720540680 is a wasteful number, since it uses less digits than its factorization.

54148720540680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755845003 (or 755844996 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 54148720540680 in words is "fifty-four trillion, one hundred forty-eight billion, seven hundred twenty million, five hundred forty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 199 360 398 597 796 995 1194 1592 1791 1990 2388 2985 3582 3980 4776 5970 7164 7960 8955 11940 14328 17910 23880 35820 71640 755844787 1511689574 2267534361 3023379148 3779223935 4535068722 6046758296 6802603083 7558447870 9070137444 11337671805 13605206166 15116895740 18140274888 22675343610 27210412332 30233791480 34013015415 45350687220 54420824664 68026030830 90701374440 136052061660 150413112613 272104123320 300826225226 451239337839 601652450452 752065563065 902478675678 1203304900904 1353718013517 1504131126130 1804957351356 2256196689195 2707436027034 3008262252260 3609914702712 4512393378390 5414872054068 6016524504520 6768590067585 9024786756780 10829744108136 13537180135170 18049573513560 27074360270340 54148720540680