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830061294146 = 27195971973561
BaseRepresentation
bin11000001010000111000…
…00100011001001000010
32221100112101202201010022
430011003200203021002
5102044431142403041
61433154102133442
7113653456405010
oct14050340431102
92840471681108
10830061294146
112a0032a62a47
12114a55a21282
1360374c527a6
142c2649a78b0
15168d24c724b
hexc143823242

830061294146 has 64 divisors (see below), whose sum is σ = 1525381632000. Its totient is φ = 330839925120.

The previous prime is 830061294143. The next prime is 830061294151. The reversal of 830061294146 is 641492160038.

It is a junction number, because it is equal to n+sod(n) for n = 830061294097 and 830061294106.

It is not an unprimeable number, because it can be changed into a prime (830061294143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11247206 + ... + 11320766.

It is an arithmetic number, because the mean of its divisors is an integer number (23834088000).

Almost surely, 2830061294146 is an apocalyptic number.

830061294146 is a deficient number, since it is larger than the sum of its proper divisors (695320337854).

830061294146 is a wasteful number, since it uses less digits than its factorization.

830061294146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74367.

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 830061294146 in words is "eight hundred thirty billion, sixty-one million, two hundred ninety-four thousand, one hundred forty-six".

Divisors: 1 2 7 14 19 38 59 118 133 266 413 719 826 1121 1438 2242 5033 7847 10066 13661 15694 27322 42421 73561 84842 95627 147122 191254 296947 514927 593894 805999 1029854 1397659 1611998 2795318 4340099 5641993 8680198 9783613 11283986 19567226 30380693 52890359 60761386 82461881 105780718 164923762 370232513 577233167 740465026 1004916821 1154466334 2009833642 3120531181 6241062362 7034417747 14068835494 21843718267 43687436534 59290092439 118580184878 415030647073 830061294146