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30993182976 = 283731185971
BaseRepresentation
bin11100110111010101…
…100111000100000000
32221222222010211021210
4130313111213010000
51001433223323401
622123231250120
72145016465020
oct346725470400
987888124253
1030993182976
1112164931108
12600b679940
132bcc086432
1417002dda80
15c15e104d6
hex737567100

30993182976 has 144 divisors (see below), whose sum is σ = 97312452608. Its totient is φ = 8569497600.

The previous prime is 30993182951. The next prime is 30993182977. The reversal of 30993182976 is 67928139903.

It is not an unprimeable number, because it can be changed into a prime (30993182977) 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, 73671 + ... + 259641.

Almost surely, 230993182976 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 30993182976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48656226304).

30993182976 is an abundant number, since it is smaller than the sum of its proper divisors (66319269632).

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

30993182976 is a wasteful number, since it uses less digits than its factorization.

30993182976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186028 (or 186014 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 57.

The spelling of 30993182976 in words is "thirty billion, nine hundred ninety-three million, one hundred eighty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 651 672 744 768 868 896 992 1302 1344 1488 1736 1792 1984 2604 2688 2976 3472 3968 5208 5376 5952 6944 7936 10416 11904 13888 20832 23808 27776 41664 55552 83328 166656 185971 371942 557913 743884 1115826 1301797 1487768 2231652 2603594 2975536 3905391 4463304 5207188 5765101 5951072 7810782 8926608 10414376 11530202 11902144 15621564 17295303 17853216 20828752 23060404 23804288 31243128 34590606 35706432 40355707 41657504 46120808 47608576 62486256 69181212 71412864 80711414 83315008 92241616 121067121 124972512 138362424 142825728 161422828 166630016 184483232 242134242 249945024 276724848 322845656 333260032 368966464 484268484 499890048 553449696 645691312 737932928 968536968 999780096 1106899392 1291382624 1475865856 1937073936 2213798784 2582765248 3874147872 4427597568 5165530496 7748295744 10331060992 15496591488 30993182976