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36672250000 = 24563832
BaseRepresentation
bin100010001001110101…
…100010000010010000
310111122202022022200111
4202021311202002100
51100101044000000
624502541331104
72435525660521
oct421165420220
9114582268614
1036672250000
1114609590231
127135566a94
1335c5805419
141abc64a848
15e497a1cba
hex889d62090

36672250000 has 105 divisors (see below), whose sum is σ = 89046965653. Its totient is φ = 14630600000.

The previous prime is 36672249983. The next prime is 36672250007. The reversal of 36672250000 is 5227663.

The square root of 36672250000 is 191500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 32128411536 + 4543838464 = 179244^2 + 67408^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36672250007) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 95749809 + ... + 95750191.

Almost surely, 236672250000 is an apocalyptic number.

36672250000 is the 191500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36672250000

36672250000 is an abundant number, since it is smaller than the sum of its proper divisors (52374715653).

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

36672250000 is an frugal number, since it uses more digits than its factorization.

36672250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

Adding to 36672250000 its reverse (5227663), we get a palindrome (36677477663).

The spelling of 36672250000 in words is "thirty-six billion, six hundred seventy-two million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 383 400 500 625 766 1000 1250 1532 1915 2000 2500 3064 3125 3830 5000 6128 6250 7660 9575 10000 12500 15320 15625 19150 25000 30640 31250 38300 47875 50000 62500 76600 95750 125000 146689 153200 191500 239375 250000 293378 383000 478750 586756 733445 766000 957500 1173512 1196875 1466890 1915000 2347024 2393750 2933780 3667225 3830000 4787500 5867560 5984375 7334450 9575000 11735120 11968750 14668900 18336125 19150000 23937500 29337800 36672250 47875000 58675600 73344500 91680625 95750000 146689000 183361250 293378000 366722500 458403125 733445000 916806250 1466890000 1833612500 2292015625 3667225000 4584031250 7334450000 9168062500 18336125000 36672250000