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92816000000 = 210565801
BaseRepresentation
bin101011001110001000…
…0111100010000000000
322212120111200022220122
41112130100330100000
53010041344000000
6110350012555412
76464031661043
oct1263420742000
9285514608818
1092816000000
11363aa237619
1215ba3a82b68
1389a2362079
1446c6cc8c5a
1526336c7085
hex159c43c400

92816000000 has 154 divisors (see below), whose sum is σ = 231963710514. Its totient is φ = 37120000000.

The previous prime is 92815999993. The next prime is 92816000023. The reversal of 92816000000 is 61829.

It can be written as a sum of positive squares in 7 ways, for example, as 85021229056 + 7794770944 = 291584^2 + 88288^2 .

It is a super-2 number, since 2×928160000002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15997100 + ... + 16002900.

Almost surely, 292816000000 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 92816000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115981855257).

92816000000 is an abundant number, since it is smaller than the sum of its proper divisors (139147710514).

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

92816000000 is an frugal number, since it uses more digits than its factorization.

92816000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5851 (or 5808 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 92816000000 its reverse (61829), we get a palindrome (92816061829).

The spelling of 92816000000 in words is "ninety-two billion, eight hundred sixteen million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 5120 5801 6250 6400 8000 10000 11602 12500 12800 15625 16000 20000 23204 25000 25600 29005 31250 32000 40000 46408 50000 58010 62500 64000 80000 92816 100000 116020 125000 128000 145025 160000 185632 200000 232040 250000 290050 320000 371264 400000 464080 500000 580100 640000 725125 742528 800000 928160 1000000 1160200 1450250 1485056 1600000 1856320 2000000 2320400 2900500 2970112 3200000 3625625 3712640 4000000 4640800 5801000 5940224 7251250 7425280 8000000 9281600 11602000 14502500 14850560 16000000 18128125 18563200 23204000 29005000 29701120 36256250 37126400 46408000 58010000 72512500 74252800 90640625 92816000 116020000 145025000 148505600 181281250 185632000 232040000 290050000 362562500 371264000 464080000 580100000 725125000 742528000 928160000 1160200000 1450250000 1856320000 2320400000 2900500000 3712640000 4640800000 5801000000 9281600000 11602000000 18563200000 23204000000 46408000000 92816000000