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74132493312 = 210331225111
BaseRepresentation
bin100010100001010100…
…1000001010000000000
321002100102100211222110
41011002221001100000
52203310404241222
654020032335320
75233033540053
oct1050251012000
9232312324873
1074132493312
11294919504a9
121244a9a4540
136cb5648677
1438337b8a9a
151ddd30830c
hex1142a41400

74132493312 has 132 divisors (see below), whose sum is σ = 204177736608. Its totient is φ = 23912755200.

The previous prime is 74132493301. The next prime is 74132493349. The reversal of 74132493312 is 21339423147.

It is a congruent number.

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, 2939637 + ... + 2964747.

Almost surely, 274132493312 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 74132493312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102088868304).

74132493312 is an abundant number, since it is smaller than the sum of its proper divisors (130045243296).

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

74132493312 is a wasteful number, since it uses less digits than its factorization.

74132493312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25196 (or 25147 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The spelling of 74132493312 in words is "seventy-four billion, one hundred thirty-two million, four hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 961 992 1024 1488 1536 1922 1984 2883 2976 3072 3844 3968 5766 5952 7688 7936 11532 11904 15376 15872 23064 23808 25111 30752 31744 46128 47616 50222 61504 75333 92256 95232 100444 123008 150666 184512 200888 246016 301332 369024 401776 492032 602664 738048 778441 803552 984064 1205328 1476096 1556882 1607104 2335323 2410656 2952192 3113764 3214208 4670646 4821312 6227528 6428416 9341292 9642624 12455056 12856832 18682584 19285248 24131671 24910112 25713664 37365168 38570496 48263342 49820224 72395013 74730336 77140992 96526684 99640448 144790026 149460672 193053368 199280896 289580052 298921344 386106736 398561792 579160104 597842688 772213472 797123584 1158320208 1195685376 1544426944 2316640416 2391370752 3088853888 4633280832 6177707776 9266561664 12355415552 18533123328 24710831104 37066246656 74132493312