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85908482112 = 2634159184969
BaseRepresentation
bin101000000000010001…
…0110110100001000000
322012202002222001201210
41100000202312201000
52401420032411422
6103244340530120
76130615022655
oct1200042664100
9265662861653
1085908482112
113348510a152
12147966b0940
138141269a8b
14422d763c2c
15237c07a10c
hex14008b6840

85908482112 has 112 divisors (see below), whose sum is σ = 236791195200. Its totient is φ = 27464048640.

The previous prime is 85908482089. The next prime is 85908482147. The reversal of 85908482112 is 21128480958.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 371964 + ... + 556932.

It is an arithmetic number, because the mean of its divisors is an integer number (2114207100).

Almost surely, 285908482112 is an apocalyptic number.

85908482112 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85908482112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118395597600).

85908482112 is an abundant number, since it is smaller than the sum of its proper divisors (150882713088).

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

85908482112 is a wasteful number, since it uses less digits than its factorization.

85908482112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185084 (or 185074 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 48.

The spelling of 85908482112 in words is "eighty-five billion, nine hundred eight million, four hundred eighty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 59 64 82 96 118 123 164 177 192 236 246 328 354 472 492 656 708 944 984 1312 1416 1888 1968 2419 2624 2832 3776 3936 4838 5664 7257 7872 9676 11328 14514 19352 29028 38704 58056 77408 116112 154816 184969 232224 369938 464448 554907 739876 1109814 1479752 2219628 2959504 4439256 5919008 7583729 8878512 10913171 11838016 15167458 17757024 21826342 22751187 30334916 32739513 35514048 43652684 45502374 60669832 65479026 87305368 91004748 121339664 130958052 174610736 182009496 242679328 261916104 349221472 364018992 447440011 485358656 523832208 698442944 728037984 894880022 1047664416 1342320033 1456075968 1789760044 2095328832 2684640066 3579520088 5369280132 7159040176 10738560264 14318080352 21477120528 28636160704 42954241056 85908482112