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135383978448 = 2433407376943
BaseRepresentation
bin111111000010110000…
…0111001000111010000
3110221110010211200121000
41332011200321013100
54204231244302243
6142110004302000
712531640554345
oct1760540710720
9427403750530
10135383978448
11524637a98a4
12222a39a1900
13c9c74553b4
1467a45607cc
1537c58665d3
hex1f858391d0

135383978448 has 80 divisors (see below), whose sum is σ = 388702621440. Its totient is φ = 45116326656.

The previous prime is 135383978423. The next prime is 135383978453. The reversal of 135383978448 is 844879383531.

135383978448 is a `hidden beast` number, since 1 + 3 + 538 + 3 + 97 + 8 + 4 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1721065 + ... + 1798007.

It is an arithmetic number, because the mean of its divisors is an integer number (4858782768).

Almost surely, 2135383978448 is an apocalyptic number.

135383978448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135383978448 is an abundant number, since it is smaller than the sum of its proper divisors (253318642992).

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

135383978448 is a wasteful number, since it uses less digits than its factorization.

135383978448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81033 (or 81021 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 135383978448 in words is "one hundred thirty-five billion, three hundred eighty-three million, nine hundred seventy-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 4073 8146 12219 16292 24438 32584 36657 48876 65168 73314 76943 97752 109971 146628 153886 195504 219942 230829 293256 307772 439884 461658 586512 615544 692487 879768 923316 1231088 1384974 1759536 1846632 2077461 2769948 3693264 4154922 5539896 8309844 11079792 16619688 33239376 313388839 626777678 940166517 1253555356 1880333034 2507110712 2820499551 3760666068 5014221424 5640999102 7521332136 8461498653 11281998204 15042664272 16922997306 22563996408 33845994612 45127992816 67691989224 135383978448