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96062211200 = 275254792
BaseRepresentation
bin101100101110111000…
…0010000010010000000
3100011221201222221112002
41121131300100102000
53033213411224300
6112044054323132
76640340215454
oct1313560202200
9304851887462
1096062211200
113781568309a
121674b0594a8
13909ba605b7
1449140a2664
1527736a25d5
hex165dc10480

96062211200 has 72 divisors (see below), whose sum is σ = 237347000505. Its totient is φ = 38417871360.

The previous prime is 96062211191. The next prime is 96062211221. The reversal of 96062211200 is 211226069.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 94140966976 + 1921244224 = 306824^2 + 43832^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=219160.

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 8 ways as a sum of consecutive naturals, for example, 17530061 + ... + 17535539.

Almost surely, 296062211200 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 96062211200

96062211200 is an abundant number, since it is smaller than the sum of its proper divisors (141284789305).

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

96062211200 is an frugal number, since it uses more digits than its factorization.

96062211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10982 (or 5486 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

Multiplying 96062211200 by its product of nonzero digits (2592), we get a square (248993251430400 = 157795202).

Adding to 96062211200 its reverse (211226069), we get a palindrome (96273437269).

The spelling of 96062211200 in words is "ninety-six billion, sixty-two million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 5479 10958 21916 27395 43832 54790 87664 109580 136975 175328 219160 273950 350656 438320 547900 701312 876640 1095800 1753280 2191600 3506560 4383200 8766400 17532800 30019441 60038882 120077764 150097205 240155528 300194410 480311056 600388820 750486025 960622112 1200777640 1500972050 1921244224 2401555280 3001944100 3842488448 4803110560 6003888200 9606221120 12007776400 19212442240 24015552800 48031105600 96062211200