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85652497938 = 23722712773881
BaseRepresentation
bin100111111000101001…
…0010110011000010010
322012002021021201110110
41033301102112120102
52400404014413223
6103203114142150
76121356135300
oct1176122263022
9265067251413
1085652497938
1133363669487
1214724a21956
138100210657
14420776b270
152364862d93
hex13f1496612

85652497938 has 96 divisors (see below), whose sum is σ = 200782257408. Its totient is φ = 24287558400.

The previous prime is 85652497883. The next prime is 85652497943. The reversal of 85652497938 is 83979425658.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22067758 + ... + 22071638.

It is an arithmetic number, because the mean of its divisors is an integer number (2091481848).

Almost surely, 285652497938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85652497938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100391128704).

85652497938 is an abundant number, since it is smaller than the sum of its proper divisors (115129759470).

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

85652497938 is a wasteful number, since it uses less digits than its factorization.

85652497938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4448 (or 4441 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 66.

The spelling of 85652497938 in words is "eighty-five billion, six hundred fifty-two million, four hundred ninety-seven thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 271 277 294 542 554 813 831 1626 1662 1897 1939 3794 3878 3881 5691 5817 7762 11382 11634 11643 13279 13573 23286 26558 27146 27167 39837 40719 54334 75067 79674 81438 81501 150134 163002 190169 225201 380338 450402 525469 570507 1050938 1051751 1075037 1141014 1576407 2103502 2150074 3152814 3155253 3225111 3678283 6310506 6450222 7356566 7362257 7525259 11034849 14724514 15050518 22069698 22086771 22575777 44173542 45151554 51535799 52676813 103071598 105353626 154607397 158030439 291335027 309214794 316060878 582670054 874005081 1748010162 2039345189 4078690378 6118035567 12236071134 14275416323 28550832646 42826248969 85652497938