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75704800704 = 26313109278261
BaseRepresentation
bin100011010000001011…
…0111001010111000000
321020101222221100020120
41012200112321113000
52220020412110304
654440040340240
75320015121451
oct1064026712700
9236358840216
1075704800704
112a1194282a5
1212809474680
1371a6306780
143942541128
151e813870d9
hex11a05b95c0

75704800704 has 112 divisors (see below), whose sum is σ = 217689927840. Its totient is φ = 23079997440.

The previous prime is 75704800693. The next prime is 75704800709. The reversal of 75704800704 is 40700840757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75704800709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132934 + ... + 411194.

It is an arithmetic number, because the mean of its divisors is an integer number (1943660070).

Almost surely, 275704800704 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 75704800704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108844963920).

75704800704 is an abundant number, since it is smaller than the sum of its proper divisors (141985127136).

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

75704800704 is a wasteful number, since it uses less digits than its factorization.

75704800704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278398 (or 278388 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 42.

The spelling of 75704800704 in words is "seventy-five billion, seven hundred four million, eight hundred thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 109 156 192 208 218 312 327 416 436 624 654 832 872 1248 1308 1417 1744 2496 2616 2834 3488 4251 5232 5668 6976 8502 10464 11336 17004 20928 22672 34008 45344 68016 90688 136032 272064 278261 556522 834783 1113044 1669566 2226088 3339132 3617393 4452176 6678264 7234786 8904352 10852179 13356528 14469572 17808704 21704358 26713056 28939144 30330449 43408716 53426112 57878288 60660898 86817432 90991347 115756576 121321796 173634864 181982694 231513152 242643592 347269728 363965388 394295837 485287184 694539456 727930776 788591674 970574368 1182887511 1455861552 1577183348 1941148736 2365775022 2911723104 3154366696 4731550044 5823446208 6308733392 9463100088 12617466784 18926200176 25234933568 37852400352 75704800704