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74283376896 = 2832157205357
BaseRepresentation
bin100010100101110100…
…0100110000100000000
321002201221021112100100
41011023220212010000
52204113021030041
654043022322400
75236545166641
oct1051350460400
9232657245310
1074283376896
112955a036583
1212491429400
13700a9967b1
1438498536c8
151deb6ae6b6
hex114ba26100

74283376896 has 108 divisors (see below), whose sum is σ = 215542524652. Its totient is φ = 24603291648.

The previous prime is 74283376877. The next prime is 74283376913. The reversal of 74283376896 is 69867338247.

It can be written as a sum of positive squares in 2 ways, for example, as 34026967296 + 40256409600 = 184464^2 + 200640^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259050 + ... + 464406.

Almost surely, 274283376896 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 74283376896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107771262326).

74283376896 is an abundant number, since it is smaller than the sum of its proper divisors (141259147756).

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

74283376896 is a wasteful number, since it uses less digits than its factorization.

74283376896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205536 (or 205519 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 74283376896 in words is "seventy-four billion, two hundred eighty-three million, three hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 157 192 256 288 314 384 471 576 628 768 942 1152 1256 1413 1884 2304 2512 2826 3768 5024 5652 7536 10048 11304 15072 20096 22608 30144 40192 45216 60288 90432 120576 180864 205357 361728 410714 616071 821428 1232142 1642856 1848213 2464284 3285712 3696426 4928568 6571424 7392852 9857136 13142848 14785704 19714272 26285696 29571408 32241049 39428544 52571392 59142816 64482098 78857088 96723147 118285632 128964196 157714176 193446294 236571264 257928392 290169441 386892588 473142528 515856784 580338882 773785176 1031713568 1160677764 1547570352 2063427136 2321355528 3095140704 4126854272 4642711056 6190281408 8253708544 9285422112 12380562816 18570844224 24761125632 37141688448 74283376896