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830193067904 = 2767503919211
BaseRepresentation
bin11000001010010110101…
…11001110011110000000
32221100212120201111201212
430011023113032132000
5102100213411133104
61433215130345252
7113656646434034
oct14051327163600
92840776644655
10830193067904
112a00a0386582
12114a91b8b228
136039633c725
142c2782aa1c4
15168ddd5636e
hexc14b5ce780

830193067904 has 64 divisors (see below), whose sum is σ = 1679005843200. Its totient is φ = 408798635520.

The previous prime is 830193067903. The next prime is 830193067931. The reversal of 830193067904 is 409760391038.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830193067903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43204859 + ... + 43224069.

It is an arithmetic number, because the mean of its divisors is an integer number (26234466300).

Almost surely, 2830193067904 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 830193067904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839502921600).

830193067904 is an abundant number, since it is smaller than the sum of its proper divisors (848812775296).

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

830193067904 is a wasteful number, since it uses less digits than its factorization.

830193067904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24331 (or 24319 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 50.

The spelling of 830193067904 in words is "eight hundred thirty billion, one hundred ninety-three million, sixty-seven thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 536 1072 2144 4288 5039 8576 10078 19211 20156 38422 40312 76844 80624 153688 161248 307376 322496 337613 614752 644992 675226 1229504 1287137 1350452 2459008 2574274 2700904 5148548 5401808 10297096 10803616 20594192 21607232 41188384 43214464 82376768 96804229 164753536 193608458 387216916 774433832 1548867664 3097735328 6195470656 6485883343 12390941312 12971766686 25943533372 51887066744 103774133488 207548266976 415096533952 830193067904