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67374199147376 = 24114164271452743
BaseRepresentation
bin11110101000110110001110…
…01101010000101101110000
322211112220120210001202021002
433110123013031100231300
532312324324440204001
6355143140234221132
720122424314451162
oct1724330715205560
9284486523052232
1067374199147376
111a516267a82350
1276816a2b847a8
132b7948a3ba944
14128cd0027a932
157bc856a3346b
hex3d46c7350b70

67374199147376 has 80 divisors (see below), whose sum is σ = 145900637261568. Its totient is φ = 29873024294400.

The previous prime is 67374199147373. The next prime is 67374199147399.

67374199147376 is nontrivially palindromic in base 10.

67374199147376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67374199147373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45650861 + ... + 47103603.

Almost surely, 267374199147376 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 67374199147376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72950318630784).

67374199147376 is an abundant number, since it is smaller than the sum of its proper divisors (78526438114192).

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

67374199147376 is a wasteful number, since it uses less digits than its factorization.

67374199147376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459230 (or 1459224 counting only the distinct ones).

The product of its digits is 1008189504, while the sum is 74.

The spelling of 67374199147376 in words is "sixty-seven trillion, three hundred seventy-four billion, one hundred ninety-nine million, one hundred forty-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 328 451 656 902 1804 3608 6427 7216 12854 25708 51416 70697 102832 141394 263507 282788 527014 565576 1054028 1131152 1452743 2108056 2898577 2905486 4216112 5797154 5810972 11594308 11621944 15980173 23188616 23243888 31960346 46377232 59562463 63920692 119124926 127841384 238249852 255682768 476499704 655187093 952999408 1310374186 2620748372 5241496744 9336779261 10482993488 18673558522 37347117044 74694234088 102704571871 149388468176 205409143742 382807949701 410818287484 765615899402 821636574968 1531231798804 1643273149936 3062463597608 4210887446711 6124927195216 8421774893422 16843549786844 33687099573688 67374199147376