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381340909125 = 33531110271809
BaseRepresentation
bin1011000110010011011…
…00000111111001000101
31100110022022012100021000
411203021230013321011
522221441233043000
6451104031043513
736356661150111
oct5431154077105
91313268170230
10381340909125
111377a9002240
1261aa6370599
1329c639c2c77
141465800a741
159dbd74e000
hex58c9b07e45

381340909125 has 64 divisors (see below), whose sum is σ = 769153132800. Its totient is φ = 184892544000.

The previous prime is 381340909091. The next prime is 381340909127. The reversal of 381340909125 is 521909043183.

It is a happy number.

It is not a de Polignac number, because 381340909125 - 210 = 381340908101 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381340909127) 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 63 ways as a sum of consecutive naturals, for example, 5098780 + ... + 5173029.

It is an arithmetic number, because the mean of its divisors is an integer number (12018017700).

Almost surely, 2381340909125 is an apocalyptic number.

It is an amenable number.

381340909125 is an abundant number, since it is smaller than the sum of its proper divisors (387812223675).

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

381340909125 is a wasteful number, since it uses less digits than its factorization.

381340909125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10271844 (or 10271828 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 381340909125 in words is "three hundred eighty-one billion, three hundred forty million, nine hundred nine thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 125 135 165 225 275 297 375 495 675 825 1125 1375 1485 2475 3375 4125 7425 12375 37125 10271809 30815427 51359045 92446281 112989899 154077135 256795225 277338843 338969697 462231405 564949495 770385675 1016909091 1283976125 1386694215 1694848485 2311157025 2824747475 3050727273 3851928375 5084545455 6933471075 8474242425 11555785125 14123737375 15253636365 25422727275 34667355375 42371212125 76268181825 127113636375 381340909125