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54117354565677 = 31321717093673987
BaseRepresentation
bin11000100111000001011011…
…01100011111000000101101
321002121120100111011120220110
430103200231230133000231
524043124320232100202
6311033100335010233
714253564331655154
oct1423405554370055
9232546314146813
1054117354565677
111627504a8a7917
1260a0380669979
132427324615900
14d514187c259b
1563cab371826c
hex31382db1f02d

54117354565677 has 48 divisors (see below), whose sum is σ = 82778476668480. Its totient is φ = 31325639095296.

The previous prime is 54117354565601. The next prime is 54117354565679. The reversal of 54117354565677 is 77656545371145.

It is a happy number.

It is not a de Polignac number, because 54117354565677 - 210 = 54117354564653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54117354565679) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12892878 + ... + 16566864.

It is an arithmetic number, because the mean of its divisors is an integer number (1724551597260).

Almost surely, 254117354565677 is an apocalyptic number.

It is an amenable number.

54117354565677 is a deficient number, since it is larger than the sum of its proper divisors (28661122102803).

54117354565677 is a wasteful number, since it uses less digits than its factorization.

54117354565677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675742 (or 3675729 counting only the distinct ones).

The product of its digits is 370440000, while the sum is 66.

The spelling of 54117354565677 in words is "fifty-four trillion, one hundred seventeen billion, three hundred fifty-four million, five hundred sixty-five thousand, six hundred seventy-seven".

Divisors: 1 3 13 17 39 51 169 221 507 663 1709 2873 5127 8619 22217 29053 66651 87159 288821 377689 866463 1133067 3673987 4909957 11021961 14729871 47761831 62457779 143285493 187373337 620903803 811951127 1862711409 2435853381 6278843783 10555364651 18836531349 31666093953 81624969179 106740344311 244874907537 320221032933 1061124599327 1387624476043 3183373797981 4162873428129 18039118188559 54117354565677