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74326766080 = 29576736163
BaseRepresentation
bin100010100111000111…
…0000111001000000000
321002211221220221010011
41011032032013020000
52204210123003310
654051212314304
75240613042010
oct1051616071000
9232757827104
1074326766080
1129581581506
12124a3a72994
137016978b78
143851509c40
151e003d078a
hex114e387200

74326766080 has 160 divisors (see below), whose sum is σ = 204004335744. Its totient is φ = 25441468416.

The previous prime is 74326766077. The next prime is 74326766093. The reversal of 74326766080 is 8066762347.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-4 number, since 4×743267660804 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12057079 + ... + 12063241.

Almost surely, 274326766080 is an apocalyptic number.

74326766080 is a gapful number since it is divisible by the number (70) 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 74326766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102002167872).

74326766080 is an abundant number, since it is smaller than the sum of its proper divisors (129677569664).

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

74326766080 is an equidigital number, since it uses as much as digits as its factorization.

74326766080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6866 (or 6850 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

The spelling of 74326766080 in words is "seventy-four billion, three hundred twenty-six million, seven hundred sixty-six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 673 896 1120 1280 1346 1792 2240 2560 2692 3365 3584 4480 4711 5384 6163 6730 8960 9422 10768 12326 13460 17920 18844 21536 23555 24652 26920 30815 37688 43072 43141 47110 49304 53840 61630 75376 86144 86282 94220 98608 107680 123260 150752 172288 172564 188440 197216 215360 215705 246520 301504 344576 345128 376880 394432 430720 431410 493040 603008 690256 753760 788864 861440 862820 986080 1206016 1380512 1507520 1577728 1722880 1725640 1972160 2412032 2761024 3015040 3155456 3451280 3944320 4147699 5522048 6030080 6902560 7888640 8295398 11044096 12060160 13805120 15777280 16590796 20738495 22088192 27610240 29033893 33181592 41476990 55220480 58067786 66363184 82953980 110440960 116135572 132726368 145169465 165907960 232271144 265452736 290338930 331815920 464542288 530905472 580677860 663631840 929084576 1061810944 1161355720 1327263680 1858169152 2123621888 2322711440 2654527360 3716338304 4645422880 5309054720 7432676608 9290845760 10618109440 14865353216 18581691520 37163383040 74326766080