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67999305444 = 223729121722937
BaseRepresentation
bin111111010101000100…
…110000111011100100
320111111222200121220020
4333111010300323210
52103230310233234
651123301035140
74625041362630
oct772504607344
9214458617806
1067999305444
11269249206a4
12112189b5ab0
136548ab9115
143411019dc0
151b7eb62549
hexfd5130ee4

67999305444 has 96 divisors (see below), whose sum is σ = 187746612480. Its totient is φ = 18742198272.

The previous prime is 67999305433. The next prime is 67999305461. The reversal of 67999305444 is 44450399976.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2953144 + ... + 2976080.

It is an arithmetic number, because the mean of its divisors is an integer number (1955693880).

Almost surely, 267999305444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67999305444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93873306240).

67999305444 is an abundant number, since it is smaller than the sum of its proper divisors (119747307036).

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

67999305444 is a wasteful number, since it uses less digits than its factorization.

67999305444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24197 (or 24195 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 60.

The spelling of 67999305444 in words is "sixty-seven billion, nine hundred ninety-nine million, three hundred five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1217 1218 2434 2436 3651 4868 7302 8519 14604 17038 22937 25557 34076 35293 45874 51114 68811 70586 91748 102228 105879 137622 141172 160559 211758 247051 275244 321118 423516 481677 494102 642236 665173 741153 963354 988204 1330346 1482306 1926708 1995519 2660692 2964612 3991038 4656211 7982076 9312422 13968633 18624844 27914329 27937266 55828658 55874532 83742987 111657316 167485974 195400303 334971948 390800606 586200909 781601212 809515541 1172401818 1619031082 2344803636 2428546623 3238062164 4857093246 5666608787 9714186492 11333217574 16999826361 22666435148 33999652722 67999305444