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107427254535 = 3354379433541
BaseRepresentation
bin110010000001100101…
…0011101000100000111
3101021021210022222002000
41210003022131010013
53230002334121120
6121203522520343
710522101411546
oct1440312350407
9337253288060
10107427254535
1141617980397
12189a12060b3
13a1904aa403
1452b163815d
152bdb2ec990
hex190329d107

107427254535 has 128 divisors (see below), whose sum is σ = 198720614400. Its totient is φ = 55024220160.

The previous prime is 107427254521. The next prime is 107427254591. The reversal of 107427254535 is 535452724701.

107427254535 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 2 + 72 + 545 + 35 = 666.

It is not a de Polignac number, because 107427254535 - 25 = 107427254503 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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 198571365 + ... + 198571905.

It is an arithmetic number, because the mean of its divisors is an integer number (1552504800).

Almost surely, 2107427254535 is an apocalyptic number.

107427254535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

107427254535 is a deficient number, since it is larger than the sum of its proper divisors (91293359865).

107427254535 is a wasteful number, since it uses less digits than its factorization.

107427254535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 107427254535 in words is "one hundred seven billion, four hundred twenty-seven million, two hundred fifty-four thousand, five hundred thirty-five".

Divisors: 1 3 5 9 15 27 43 45 79 129 135 215 237 387 395 433 541 645 711 1161 1185 1299 1623 1935 2133 2165 2705 3397 3555 3897 4869 5805 6495 8115 10191 10665 11691 14607 16985 18619 19485 23263 24345 30573 34207 42739 50955 55857 58455 69789 73035 91719 93095 102621 116315 128217 152865 167571 171035 209367 213695 234253 279285 307863 348945 384651 458595 502713 513105 628101 641085 702759 837855 923589 1046835 1153953 1171265 1470901 1539315 1837777 1923255 2108277 2513565 3140505 3513795 4412703 4617945 5513331 5769765 6324831 7354505 9188885 10072879 10541385 13238109 16539993 18505987 22063515 27566655 30218637 31624155 39714327 49619979 50364395 55517961 66190545 82699965 90655911 92529935 151093185 166553883 198571635 248099895 271967733 277589805 453279555 499661649 795757441 832769415 1359838665 2387272323 2498308245 3978787205 7161816969 11936361615 21485450907 35809084845 107427254535