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67344050940 = 22353146178539
BaseRepresentation
bin111110101110000001…
…001010101011111100
320102211022201020200220
4332232001022223330
52100410034112230
650534252421340
74602563662635
oct765601125374
9212738636626
1067344050940
1126618a63251
1211075477850
13647311556a
14338bdac88c
151b4237cd10
hexfae04aafc

67344050940 has 96 divisors (see below), whose sum is σ = 195070740480. Its totient is φ = 17341190400.

The previous prime is 67344050897. The next prime is 67344050941. The reversal of 67344050940 is 4905044376.

It is a junction number, because it is equal to n+sod(n) for n = 67344050892 and 67344050901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67344050941) 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, 818191 + ... + 896729.

It is an arithmetic number, because the mean of its divisors is an integer number (2031986880).

Almost surely, 267344050940 is an apocalyptic number.

67344050940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67344050940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97535370240).

67344050940 is an abundant number, since it is smaller than the sum of its proper divisors (127726689540).

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

67344050940 is a wasteful number, since it uses less digits than its factorization.

67344050940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79043 (or 79041 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 67344050940 in words is "sixty-seven billion, three hundred forty-four million, fifty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 461 465 620 922 930 1383 1844 1860 2305 2766 4610 5532 6915 9220 13830 14291 27660 28582 42873 57164 71455 78539 85746 142910 157078 171492 214365 235617 285820 314156 392695 428730 471234 785390 857460 942468 1178085 1570780 2356170 2434709 4712340 4869418 7304127 9738836 12173545 14608254 24347090 29216508 36206479 36520635 48694180 72412958 73041270 108619437 144825916 146082540 181032395 217238874 362064790 434477748 543097185 724129580 1086194370 1122400849 2172388740 2244801698 3367202547 4489603396 5612004245 6734405094 11224008490 13468810188 16836012735 22448016980 33672025470 67344050940