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12377800125 = 32533121072
BaseRepresentation
bin10111000011100011…
…00011110110111101
31011221122000101200200
423201301203312331
5200322204101000
65404123114113
7615506364555
oct134161436675
934848011620
1012377800125
115281a44489
122495372939
1312235025b2
14855c84165
154c69eb500
hex2e1c63dbd

12377800125 has 108 divisors (see below), whose sum is σ = 23273532828. Its totient is φ = 6328836000.

The previous prime is 12377800117. The next prime is 12377800153. The reversal of 12377800125 is 52100877321.

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 396089604 + 11981710521 = 19902^2 + 109461^2 .

It is not a de Polignac number, because 12377800125 - 23 = 12377800117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12377800125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 115680322 + ... + 115680428.

Almost surely, 212377800125 is an apocalyptic number.

12377800125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12377800125 is a deficient number, since it is larger than the sum of its proper divisors (10895732703).

12377800125 is an equidigital number, since it uses as much as digits as its factorization.

12377800125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 12377800125 in words is "twelve billion, three hundred seventy-seven million, eight hundred thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 107 125 155 225 279 321 375 465 535 775 961 963 1125 1395 1605 2325 2675 2883 3317 3875 4805 4815 6975 8025 8649 9951 11449 11625 13375 14415 16585 24025 24075 29853 34347 34875 40125 43245 49755 57245 72075 82925 102827 103041 120125 120375 149265 171735 216225 248775 286225 308481 354919 360375 414625 514135 515205 746325 858675 925443 1064757 1081125 1243875 1431125 1542405 1774595 2570675 2576025 3194271 3731625 4293375 4627215 5323785 7712025 8872975 11002489 12853375 12880125 15971355 23136075 26618925 33007467 38560125 44364875 55012445 79856775 99022401 115680375 133094625 165037335 275062225 399283875 495112005 825186675 1375311125 2475560025 4125933375 12377800125