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16245253125 = 32551761557
BaseRepresentation
bin11110010000100101…
…01110010000000101
31112221011022100211200
433020102232100011
5231232241100000
611244000053113
71113400242003
oct171022562005
945834270750
1016245253125
116987027132
123194604199
1316bb82611a
14b01773a73
156512dd500
hex3c84ae405

16245253125 has 144 divisors (see below), whose sum is σ = 31620882384. Its totient is φ = 8006400000.

The previous prime is 16245253117. The next prime is 16245253127. The reversal of 16245253125 is 52135254261.

16245253125 is a `hidden beast` number, since 1 + 6 + 2 + 4 + 525 + 3 + 125 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 8674687044 + 7570566081 = 93138^2 + 87009^2 .

It is not a de Polignac number, because 16245253125 - 23 = 16245253117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16245253125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16245253127) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29165347 + ... + 29165903.

It is an arithmetic number, because the mean of its divisors is an integer number (219589461).

Almost surely, 216245253125 is an apocalyptic number.

16245253125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16245253125 is a deficient number, since it is larger than the sum of its proper divisors (15375629259).

16245253125 is an equidigital number, since it uses as much as digits as its factorization.

16245253125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 643 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

It can be divided in two parts, 16245 and 253125, that multiplied together give a square (4112015625 = 641252).

The spelling of 16245253125 in words is "sixteen billion, two hundred forty-five million, two hundred fifty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 61 75 85 125 153 183 225 255 305 375 425 549 557 625 765 915 1037 1125 1275 1525 1671 1875 2125 2745 2785 3111 3125 3825 4575 5013 5185 5625 6375 7625 8355 9333 9375 9469 10625 13725 13925 15555 19125 22875 25065 25925 28125 28407 31875 33977 38125 41775 46665 47345 53125 68625 69625 77775 85221 95625 101931 114375 125325 129625 142035 159375 169885 190625 208875 233325 236725 305793 343125 348125 388875 426105 478125 509655 571875 577609 626625 648125 710175 849425 1044375 1166625 1183625 1528965 1715625 1732827 1740625 1944375 2130525 2548275 2888045 3133125 3240625 3550875 4247125 5198481 5221875 5833125 5918125 7644825 8664135 9721875 10652625 12741375 14440225 15665625 17754375 21235625 25992405 29165625 29590625 38224125 43320675 53263125 63706875 72201125 88771875 106178125 129962025 191120625 216603375 266315625 318534375 361005625 649810125 955603125 1083016875 1805028125 3249050625 5415084375 16245253125