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67119011138712 = 233134334747143981
BaseRepresentation
bin11110100001011010111001…
…10100010000110010011000
322210122111220021210202011210
433100231130310100302120
532244134213322414322
6354430014213423120
720065121444251551
oct1720553464206230
9283574807722153
1067119011138712
111a428015aa9435
12764014503aaa0
132b5b3ac553c50
141280812827328
157b5dbd52670c
hex3d0b5cd10c98

67119011138712 has 128 divisors (see below), whose sum is σ = 184914078370560. Its totient is φ = 20171003650560.

The previous prime is 67119011138653. The next prime is 67119011138713. The reversal of 67119011138712 is 21783111091176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67119011138713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466093762 + ... + 466237742.

It is an arithmetic number, because the mean of its divisors is an integer number (1444641237270).

Almost surely, 267119011138712 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 67119011138712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92457039185280).

67119011138712 is an abundant number, since it is smaller than the sum of its proper divisors (117795067231848).

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

67119011138712 is a wasteful number, since it uses less digits than its factorization.

67119011138712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178793 (or 178789 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 48.

The spelling of 67119011138712 in words is "sixty-seven trillion, one hundred nineteen billion, eleven million, one hundred thirty-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 172 258 312 344 516 559 1032 1118 1677 2236 3354 4472 6708 13416 34747 69494 104241 138988 143981 208482 277976 287962 416964 431943 451711 575924 833928 863886 903422 1151848 1355133 1494121 1727772 1806844 1871753 2710266 2988242 3455544 3613688 3743506 4482363 5420532 5615259 5976484 6191183 7487012 8964726 10841064 11230518 11952968 12382366 14974024 17929452 18573549 19423573 22461036 24764732 35858904 37147098 38847146 44922072 49529464 58270719 74294196 77694292 80485379 116541438 148588392 155388584 160970758 233082876 241456137 321941516 466165752 482912274 643883032 965824548 1931649096 5002907807 10005815614 15008723421 20011631228 30017446842 40023262456 60034893684 65037801491 120069787368 130075602982 195113404473 215125035701 260151205964 390226808946 430250071402 520302411928 645375107103 780453617892 860500142804 1290750214206 1560907235784 1721000285608 2581500428412 2796625464113 5163000856824 5593250928226 8389876392339 11186501856452 16779752784678 22373003712904 33559505569356 67119011138712