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30993031024 = 24172347105407
BaseRepresentation
bin11100110111010101…
…000001111101110000
32221222221212002211221
4130313111001331300
51001433203443044
622123224114424
72145015263014
oct346725017560
987887762757
1030993031024
1112164837a2a
12600b605a14
132bcc032217
1417002a0544
15c15dd0484
hex737541f70

30993031024 has 80 divisors (see below), whose sum is σ = 67757948928. Its totient is φ = 13653871616.

The previous prime is 30993030989. The next prime is 30993031031. The reversal of 30993031024 is 42013039903.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241329 + ... + 346735.

Almost surely, 230993031024 is an apocalyptic number.

30993031024 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30993031024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33878974464).

30993031024 is an abundant number, since it is smaller than the sum of its proper divisors (36764917904).

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

30993031024 is a wasteful number, since it uses less digits than its factorization.

30993031024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105502 (or 105496 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 34.

The spelling of 30993031024 in words is "thirty billion, nine hundred ninety-three million, thirty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 17 23 34 46 47 68 92 94 136 184 188 272 368 376 391 752 782 799 1081 1564 1598 2162 3128 3196 4324 6256 6392 8648 12784 17296 18377 36754 73508 105407 147016 210814 294032 421628 843256 1686512 1791919 2424361 3583838 4848722 4954129 7167676 9697444 9908258 14335352 19394888 19816516 28670704 38789776 39633032 41214137 79266064 82428274 84220193 113944967 164856548 168440386 227889934 329713096 336880772 455779868 659426192 673761544 911559736 1347523088 1823119472 1937064439 3874128878 7748257756 15496515512 30993031024