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85830532830 = 23257413322901
BaseRepresentation
bin100111111101111100…
…1011111111011011110
322012112200021211102100
41033323321133323132
52401240104022310
6103232514105530
76125650330410
oct1177371377336
9265480254370
1085830532830
1133445109759
121477457b2a6
13812b076c43
1442232729b0
1523752cdec0
hex13fbe5fede

85830532830 has 96 divisors (see below), whose sum is σ = 261259846848. Its totient is φ = 19139904000.

The previous prime is 85830532819. The next prime is 85830532849. The reversal of 85830532830 is 3823503858.

85830532830 is a `hidden beast` number, since 8 + 5 + 8 + 30 + 532 + 83 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1635621 + ... + 1687280.

It is an arithmetic number, because the mean of its divisors is an integer number (2721456738).

Almost surely, 285830532830 is an apocalyptic number.

85830532830 is an abundant number, since it is smaller than the sum of its proper divisors (175429314018).

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

85830532830 is a wasteful number, since it uses less digits than its factorization.

85830532830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322962 (or 3322959 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 85830532830 in words is "eighty-five billion, eight hundred thirty million, five hundred thirty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 41 42 45 63 70 82 90 105 123 126 205 210 246 287 315 369 410 574 615 630 738 861 1230 1435 1722 1845 2583 2870 3690 4305 5166 8610 12915 25830 3322901 6645802 9968703 16614505 19937406 23260307 29906109 33229010 46520614 49843515 59812218 69780921 99687030 116301535 136238941 139561842 149530545 209342763 232603070 272477882 299061090 348904605 408716823 418685526 681194705 697809210 817433646 953672587 1046713815 1226150469 1362389410 1907345174 2043584115 2093427630 2452300938 2861017761 4087168230 4768362935 5722035522 6130752345 8583053283 9536725870 12261504690 14305088805 17166106566 28610177610 42915266415 85830532830