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67718448945 = 32573121533221
BaseRepresentation
bin111111000100010101…
…011000011100110001
320110210102012122012200
4333010111120130301
52102141410331240
651035345213413
74615061214210
oct770425303461
9213712178180
1067718448945
11267a0331a94
121115a931269
136502861944
1433c59cb077
151b65185930
hexfc4558731

67718448945 has 96 divisors (see below), whose sum is σ = 138581673984. Its totient is φ = 29935180800.

The previous prime is 67718448911. The next prime is 67718448953. The reversal of 67718448945 is 54984481776.

67718448945 is a `hidden beast` number, since 6 + 7 + 71 + 84 + 489 + 4 + 5 = 666.

67718448945 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 67718448945 - 26 = 67718448881 is a prime.

It is a super-2 number, since 2×677184489452 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21022435 + ... + 21025655.

It is an arithmetic number, because the mean of its divisors is an integer number (1443559104).

Almost surely, 267718448945 is an apocalyptic number.

It is an amenable number.

67718448945 is an abundant number, since it is smaller than the sum of its proper divisors (70863225039).

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

67718448945 is a wasteful number, since it uses less digits than its factorization.

67718448945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5423 (or 5420 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The spelling of 67718448945 in words is "sixty-seven billion, seven hundred eighteen million, four hundred forty-eight thousand, nine hundred forty-five".

Divisors: 1 3 5 7 9 15 21 31 35 45 63 93 105 155 217 279 315 465 651 1085 1395 1953 2153 3221 3255 6459 9663 9765 10765 15071 16105 19377 22547 28989 32295 45213 48315 66743 67641 75355 96885 99851 112735 135639 144945 200229 202923 226065 299553 333715 338205 467201 499255 600687 678195 698957 898659 1001145 1014615 1401603 1497765 2096871 2336005 3003435 3494785 4204809 4493295 6290613 6934813 7008015 10484355 20804439 21024045 31453065 34674065 48543691 62413317 104022195 145631073 214979203 242718455 312066585 436893219 644937609 728155365 1074896015 1504854421 1934812827 2184466095 3224688045 4514563263 7524272105 9674064135 13543689789 22572816315 67718448945