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85070823903 = 3213107137193257
BaseRepresentation
bin100111100111010011…
…1011100000111011111
322010120201202121200200
41033032213130013133
52343211112331103
6103025254554543
76101064033522
oct1171647340737
9263521677620
1085070823903
113309529813a
12145a2068a53
138039860230
1441903d4bb9
15232d7650a3
hex13ce9dc1df

85070823903 has 96 divisors (see below), whose sum is σ = 135767451456. Its totient is φ = 51017416704.

The previous prime is 85070823899. The next prime is 85070823911. The reversal of 85070823903 is 30932807058.

It is not a de Polignac number, because 85070823903 - 22 = 85070823899 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85070823913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 331014751 + ... + 331015007.

It is an arithmetic number, because the mean of its divisors is an integer number (1414244286).

Almost surely, 285070823903 is an apocalyptic number.

85070823903 is a deficient number, since it is larger than the sum of its proper divisors (50696627553).

85070823903 is a wasteful number, since it uses less digits than its factorization.

85070823903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 85070823903 in words is "eighty-five billion, seventy million, eight hundred twenty-three thousand, nine hundred three".

Divisors: 1 3 9 13 39 107 117 137 193 257 321 411 579 771 963 1233 1391 1737 1781 2313 2509 3341 4173 5343 7527 10023 12519 14659 16029 20651 22581 26441 27499 30069 35209 43977 49601 61953 79323 82497 105627 131931 148803 185859 190567 237969 247491 268463 316881 343733 357487 446409 457717 571701 644813 805389 1031199 1072461 1373151 1715103 1934439 2416167 2829187 3093597 3217383 3767363 4119453 5307307 5803317 6795337 8487561 11302089 15921921 20386011 25462683 33906267 36779431 47765763 48975719 61158033 68994991 88339381 110338293 146927157 206984973 265018143 331014879 440781471 620954919 727101059 795054429 2181303177 6543909531 9452313767 28356941301 85070823903