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12648046725 = 355223131691
BaseRepresentation
bin10111100011110000…
…11110000010000101
31012122110112100100000
423301320132002011
5201400344443400
65451015311513
7625300423536
oct136170360205
935573470300
1012648046725
115400546786
12254b97b599
1312674b3722
1487db1068d
154e05ce600
hex2f1e1e085

12648046725 has 144 divisors (see below), whose sum is σ = 24737416704. Its totient is φ = 6393816000.

The previous prime is 12648046669. The next prime is 12648046729. The reversal of 12648046725 is 52764084621.

12648046725 is a `hidden beast` number, since 126 + 48 + 0 + 467 + 25 = 666.

It is not a de Polignac number, because 12648046725 - 211 = 12648044677 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12648046729) 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, 18303630 + ... + 18304320.

It is an arithmetic number, because the mean of its divisors is an integer number (171787616).

Almost surely, 212648046725 is an apocalyptic number.

12648046725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12648046725 is a deficient number, since it is larger than the sum of its proper divisors (12089369979).

12648046725 is a wasteful number, since it uses less digits than its factorization.

12648046725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 12648046725 in words is "twelve billion, six hundred forty-eight million, forty-six thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 27 45 69 75 81 115 131 135 207 225 243 345 393 405 575 621 655 675 691 1035 1179 1215 1725 1863 1965 2025 2073 3013 3105 3275 3455 3537 5175 5589 5895 6075 6219 9039 9315 9825 10365 10611 15065 15525 15893 17275 17685 18657 27117 27945 29475 31095 31833 45195 46575 47679 51825 53055 55971 75325 79465 81351 88425 90521 93285 135585 139725 143037 155475 159165 167913 225975 238395 244053 265275 271563 279855 397325 406755 429111 452605 466425 677925 715185 732159 795825 814689 839565 1191975 1220265 1287333 1357815 1399275 2033775 2081983 2145555 2263025 2444067 3575925 3660795 3861999 4073445 4197825 6101325 6245949 6436665 6789075 7332201 10409915 10727775 12220335 18303975 18737847 19309995 20367225 21996603 31229745 32183325 36661005 52049575 56213541 61101675 93689235 96549975 109983015 156148725 168640623 183305025 281067705 468446175 505921869 549915075 843203115 1405338525 2529609345 4216015575 12648046725