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54631041306540 = 22351516029916259
BaseRepresentation
bin11000110101111110001111…
…10011111000111110101100
321011102200021012101202222020
430122333013303320332230
524130033333033302130
6312105053124350140
714335651063141236
oct1432770763707654
9234380235352866
1054631041306540
11164529926532a6
126163a41245350
1324638ba1b15ca
14d6c229657256
1564b12ac01e10
hex31afc7cf8fac

54631041306540 has 48 divisors (see below), whose sum is σ = 153979941615360. Its totient is φ = 14471799019200.

The previous prime is 54631041306529. The next prime is 54631041306587. The reversal of 54631041306540 is 4560314013645.

It is a happy number.

It is a super-3 number, since 3×546310413065403 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54631041306492 and 54631041306501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3014949070 + ... + 3014967189.

It is an arithmetic number, because the mean of its divisors is an integer number (3207915450320).

Almost surely, 254631041306540 is an apocalyptic number.

It is an amenable number.

54631041306540 is an abundant number, since it is smaller than the sum of its proper divisors (99348900308820).

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

54631041306540 is a wasteful number, since it uses less digits than its factorization.

54631041306540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6029916422 (or 6029916420 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 54631041306540 in words is "fifty-four trillion, six hundred thirty-one billion, forty-one million, three hundred six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 1510 1812 2265 3020 4530 9060 6029916259 12059832518 18089748777 24119665036 30149581295 36179497554 60299162590 72358995108 90448743885 120598325180 180897487770 361794975540 910517355109 1821034710218 2731552065327 3642069420436 4552586775545 5463104130654 9105173551090 10926208261308 13657760326635 18210347102180 27315520653270 54631041306540