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19137418425 = 3452371631567
BaseRepresentation
bin10001110100101011…
…011101010010111001
31211101201102120210000
4101310223131102321
5303143134342200
612442553143213
71245146241546
oct216453352271
954351376700
1019137418425
118130634794
1238610bab09
131a5ca82a38
14cd7909bcd
15770181300
hex474add4b9

19137418425 has 120 divisors (see below), whose sum is σ = 36653931776. Its totient is φ = 9863544960.

The previous prime is 19137418411. The next prime is 19137418427. The reversal of 19137418425 is 52481473191.

19137418425 is a `hidden beast` number, since 191 + 3 + 7 + 418 + 42 + 5 = 666.

It is not a de Polignac number, because 19137418425 - 26 = 19137418361 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (19137418427) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 12211992 + ... + 12213558.

Almost surely, 219137418425 is an apocalyptic number.

19137418425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19137418425 is a deficient number, since it is larger than the sum of its proper divisors (17516513351).

19137418425 is a wasteful number, since it uses less digits than its factorization.

19137418425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1775 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 19137418425 in words is "nineteen billion, one hundred thirty-seven million, four hundred eighteen thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 37 45 75 81 111 135 163 185 225 333 405 489 555 675 815 925 999 1467 1567 1665 2025 2445 2775 2997 4075 4401 4701 4995 6031 7335 7835 8325 12225 13203 14103 14985 18093 22005 23505 24975 30155 36675 39175 42309 54279 57979 66015 70515 74925 90465 110025 117525 126927 150775 162837 173937 211545 255421 271395 289895 330075 352575 452325 488511 521811 634635 766263 814185 869685 1057725 1277105 1356975 1449475 1565433 2298789 2442555 2609055 3173175 3831315 4070925 4348425 4696299 6385525 6896367 7827165 9450577 11493945 12212775 13045275 19156575 20689101 23481495 28351731 34481835 39135825 47252885 57469725 85055193 103445505 117407475 141758655 172409175 236264425 255165579 425275965 517227525 708793275 765496737 1275827895 2126379825 3827483685 6379139475 19137418425