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85035551436 = 223311631113437
BaseRepresentation
bin100111100110010000…
…0111000101011001100
322010111021101120222000
41033030200320223030
52343123100121221
6103021554552300
76100155155403
oct1171440705314
9263437346860
1085035551436
1133077396440
1214592298690
138032460454
14418985263a
15232a5e8e26
hex13cc838acc

85035551436 has 96 divisors (see below), whose sum is σ = 240887861760. Its totient is φ = 25727284800.

The previous prime is 85035551411. The next prime is 85035551443. The reversal of 85035551436 is 63415553058.

85035551436 is a `hidden beast` number, since 8 + 50 + 3 + 5 + 551 + 43 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85035551391 and 85035551400.

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 31 ways as a sum of consecutive naturals, for example, 692910 + ... + 806346.

It is an arithmetic number, because the mean of its divisors is an integer number (2509248560).

Almost surely, 285035551436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85035551436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120443930880).

85035551436 is an abundant number, since it is smaller than the sum of its proper divisors (155852310324).

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

85035551436 is a wasteful number, since it uses less digits than its factorization.

85035551436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114092 (or 114084 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 85035551436 in words is "eighty-five billion, thirty-five million, five hundred fifty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 631 1188 1262 1893 2524 3786 5679 6941 7572 11358 13882 17037 20823 22716 27764 34074 41646 62469 68148 83292 113437 124938 187407 226874 249876 340311 374814 453748 680622 749628 1020933 1247807 1361244 2041866 2495614 3062799 3743421 4083732 4991228 6125598 7486842 11230263 12251196 14973684 22460526 33690789 44921052 67381578 71578747 134763156 143157494 214736241 286314988 429472482 644208723 787366217 858944964 1288417446 1574732434 1932626169 2362098651 2576834892 3149464868 3865252338 4724197302 7086295953 7730504676 9448394604 14172591906 21258887859 28345183812 42517775718 85035551436