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92099101696 = 2107218110141
BaseRepresentation
bin101010111000110001…
…0001100010000000000
322210201112201010022121
41111301202030100000
53002104332223241
6110150523214024
76440205306400
oct1256142142000
9283645633277
1092099101696
11360715a6288
1215a23977314
1388b99872a4
1446599d2800
1525e07b7ad1
hex157188c400

92099101696 has 132 divisors (see below), whose sum is σ = 215371232076. Its totient is φ = 39249100800.

The previous prime is 92099101681. The next prime is 92099101739. The reversal of 92099101696 is 69610199029.

It can be written as a sum of positive squares in 2 ways, for example, as 6648119296 + 85450982400 = 81536^2 + 292320^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9076786 + ... + 9086926.

It is an arithmetic number, because the mean of its divisors is an integer number (1631600243).

Almost surely, 292099101696 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 92099101696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107685616038).

92099101696 is an abundant number, since it is smaller than the sum of its proper divisors (123272130380).

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

92099101696 is a wasteful number, since it uses less digits than its factorization.

92099101696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10356 (or 10331 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 52.

The spelling of 92099101696 in words is "ninety-two billion, ninety-nine million, one hundred one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 181 196 224 256 362 392 448 512 724 784 896 1024 1267 1448 1568 1792 2534 2896 3136 3584 5068 5792 6272 7168 8869 10136 10141 11584 12544 17738 20272 20282 23168 25088 35476 40544 40564 46336 50176 70952 70987 81088 81128 92672 141904 141974 162176 162256 185344 283808 283948 324352 324512 496909 567616 567896 648704 649024 993818 1135232 1135792 1297408 1298048 1835521 1987636 2270464 2271584 2596096 3671042 3975272 4540928 4543168 5192192 7342084 7950544 9081856 9086336 10384384 12848647 14684168 15901088 18172672 25697294 29368336 31802176 36345344 51394588 58736672 63604352 72690688 89940529 102789176 117473344 127208704 179881058 205578352 234946688 254417408 359762116 411156704 469893376 508834816 719524232 822313408 939786752 1439048464 1644626816 1879573504 2878096928 3289253632 5756193856 6578507264 11512387712 13157014528 23024775424 46049550848 92099101696