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135069196444 = 227131935954401
BaseRepresentation
bin111110111001011000…
…0000110000010011100
3110220122012112002212021
41331302300012002130
54203110203241234
6142014441345524
712521066140510
oct1756260060234
9426565462767
10135069196444
1152312049486
12222164982a4
13c977180260
146774820140
1537a7dd79b4
hex1f72c0609c

135069196444 has 96 divisors (see below), whose sum is σ = 307088409600. Its totient is φ = 50479718400.

The previous prime is 135069196439. The next prime is 135069196481. The reversal of 135069196444 is 444691960531.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 135069196391 and 135069196400.

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 31 ways as a sum of consecutive naturals, for example, 2455644 + ... + 2510044.

It is an arithmetic number, because the mean of its divisors is an integer number (3198837600).

Almost surely, 2135069196444 is an apocalyptic number.

135069196444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135069196444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153544204800).

135069196444 is an abundant number, since it is smaller than the sum of its proper divisors (172019213156).

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

135069196444 is a wasteful number, since it uses less digits than its factorization.

135069196444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54803 (or 54801 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 135069196444 in words is "one hundred thirty-five billion, sixty-nine million, one hundred ninety-six thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 182 247 266 359 364 494 532 718 988 1436 1729 2513 3458 4667 5026 6821 6916 9334 10052 13642 18668 27284 32669 47747 54401 65338 88673 95494 108802 130676 177346 190988 217604 354692 380807 620711 707213 761614 1033619 1241422 1414426 1523228 2067238 2482844 2828852 4134476 4950491 7235333 9900982 13437047 14470666 19529959 19801964 26874094 28941332 39059918 53748188 78119836 94059329 136709713 188118658 253889467 273419426 371069221 376237316 507778934 546838852 742138442 1015557868 1484276884 1777226269 2597484547 3554452538 4823899873 5194969094 7108905076 9647799746 10389938188 19295599492 33767299111 67534598222 135069196444