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15625000000 = 26512
BaseRepresentation
bin11101000110101001…
…01001010001000000
31111022221012020111201
432203110221101000
5224000000000000
611102241550544
71062126210601
oct164324512100
944287166451
1015625000000
1166989a5845
123040945454
131620188b3c
14a83237da8
15616b1e96a
hex3a3529440

15625000000 has 91 divisors (see below), whose sum is σ = 38757324187. Its totient is φ = 6250000000.

The previous prime is 15624999983. The next prime is 15625000007. The reversal of 15625000000 is 52651.

It is a happy number.

The square root of 15625000000 is 125000.

The cubic root of 15625000000 is 2500.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 6 ways, for example, as 8840512576 + 6784487424 = 94024^2 + 82368^2 .

It is an ABA number since it can be written as A⋅BA, here for A=4, B=250.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15625000007) by changing a digit.

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 12 ways as a sum of consecutive naturals, for example, 3124999998 + ... + 3125000002.

Almost surely, 215625000000 is an apocalyptic number.

15625000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15625000000 is the 125000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15625000000

15625000000 is an abundant number, since it is smaller than the sum of its proper divisors (23132324187).

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

15625000000 is an frugal number, since it uses more digits than its factorization.

15625000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

Adding to 15625000000 its reverse (52651), we get a palindrome (15625052651).

The spelling of 15625000000 in words is "fifteen billion, six hundred twenty-five million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 78125 100000 125000 156250 200000 250000 312500 390625 500000 625000 781250 1000000 1250000 1562500 1953125 2500000 3125000 3906250 5000000 6250000 7812500 9765625 12500000 15625000 19531250 25000000 31250000 39062500 48828125 62500000 78125000 97656250 125000000 156250000 195312500 244140625 312500000 390625000 488281250 625000000 781250000 976562500 1562500000 1953125000 3125000000 3906250000 7812500000 15625000000