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830638826031 = 37192971786261
BaseRepresentation
bin11000001011001011110…
…11101010001000101111
32221102000122111100221010
430011211323222020233
5102102122014413111
61433331252440303
7114004001345310
oct14054573521057
92842018440833
10830638826031
112a02a9a65223
12114b97319093
13604377b2731
142c2bb582607
1516918057aa6
hexc165eea22f

830638826031 has 32 divisors (see below), whose sum is σ = 1378296230400. Its totient is φ = 434163300480.

The previous prime is 830638826011. The next prime is 830638826033. The reversal of 830638826031 is 130628836038.

It is not a de Polignac number, because 830638826031 - 210 = 830638825007 is a prime.

It is a super-2 number, since 2×8306388260312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830638826033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35881560 + ... + 35904701.

It is an arithmetic number, because the mean of its divisors is an integer number (43071757200).

Almost surely, 2830638826031 is an apocalyptic number.

830638826031 is a deficient number, since it is larger than the sum of its proper divisors (547657404369).

830638826031 is a wasteful number, since it uses less digits than its factorization.

830638826031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71786319.

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 830638826031 in words is "eight hundred thirty billion, six hundred thirty-eight million, eight hundred twenty-six thousand, thirty-one".

Divisors: 1 3 7 19 21 29 57 87 133 203 399 551 609 1653 3857 11571 71786261 215358783 502503827 1363938959 1507511481 2081801569 4091816877 6245404707 9547572713 14572610983 28642718139 39554229811 43717832949 118662689433 276879608677 830638826031