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15399070947225 = 3252741922812
BaseRepresentation
bin1110000000010110000000…
…1001110101011110011001
32000112010200201201222102100
43200011200021311132121
54004244244130302400
652430122512554013
73146355222240000
oct340054011653631
960463621658370
1015399070947225
1149a7789107869
121888539852909
13879184231644
143b3467517c37
151ba8726e3100
hexe0160275799

15399070947225 has 405 divisors, whose sum is σ = 34080349465149. Its totient is φ = 6645337977600.

The previous prime is 15399070947199. The next prime is 15399070947257. The reversal of 15399070947225 is 52274907099351.

The square root of 15399070947225 is 3924165.

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

15399070947225 is a `hidden beast` number, since 1 + 5 + 3 + 9 + 90 + 70 + 9 + 472 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21912584841 + 15377158362384 = 148029^2 + 3921372^2 .

It is not a de Polignac number, because 15399070947225 - 223 = 15399062558617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 54800964085 + ... + 54800964365.

Almost surely, 215399070947225 is an apocalyptic number.

15399070947225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

15399070947225 is the 3924165-th square number.

15399070947225 is the 1962083-rd centered octagonal number.

It is an amenable number.

15399070947225 is an abundant number, since it is smaller than the sum of its proper divisors (18681278517924).

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

15399070947225 is an frugal number, since it uses more digits than its factorization.

15399070947225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 15399070947225 in words is "fifteen trillion, three hundred ninety-nine billion, seventy million, nine hundred forty-seven thousand, two hundred twenty-five".