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85909755736 = 2374158763743
BaseRepresentation
bin101000000000010011…
…1101101011101011000
322012202012100202211001
41100000213231131120
52401420344140421
6103244424114344
76130631606110
oct1200047553530
9265665322731
1085909755736
11334858aa032
12147970059b4
1381415c46bc
14422d9b6040
15237c22c691
hex14009ed758

85909755736 has 64 divisors (see below), whose sum is σ = 188906618880. Its totient is φ = 35858699520.

The previous prime is 85909755677. The next prime is 85909755749. The reversal of 85909755736 is 63755790958.

It is a super-2 number, since 2×859097557362 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1315881 + ... + 1379623.

It is an arithmetic number, because the mean of its divisors is an integer number (2951665920).

Almost surely, 285909755736 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 85909755736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94453309440).

85909755736 is an abundant number, since it is smaller than the sum of its proper divisors (102996863144).

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

85909755736 is a wasteful number, since it uses less digits than its factorization.

85909755736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64384 (or 64380 counting only the distinct ones).

The product of its (nonzero) digits is 71442000, while the sum is 64.

The spelling of 85909755736 in words is "eighty-five billion, nine hundred nine million, seven hundred fifty-five thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 587 1148 1174 2296 2348 4109 4696 8218 16436 24067 32872 48134 63743 96268 127486 168469 192536 254972 336938 446201 509944 673876 892402 1347752 1784804 2613463 3569608 5226926 10453852 18294241 20907704 36588482 37417141 73176964 74834282 146353928 149668564 261919987 299337128 523839974 1047679948 1534102781 2095359896 3068205562 6136411124 10738719467 12272822248 21477438934 42954877868 85909755736