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135954741384 = 233371124797163
BaseRepresentation
bin111111010011110001…
…0001011100010001000
3110222220220211110011000
41332213202023202020
54211413403211014
6142242353535000
712552041143260
oct1764742134210
9428826743130
10135954741384
11527269a8500
1222422b74460
13ca88785347
14681a2967a0
15380aa0b509
hex1fa788b888

135954741384 has 768 divisors, whose sum is σ = 492497510400. Its totient is φ = 33995427840.

The previous prime is 135954741371. The next prime is 135954741401. The reversal of 135954741384 is 483147459531.

135954741384 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 547 + 4 + 13 + 84 = 666.

135954741384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1359547413843 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 135954741384.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 834078087 + ... + 834078249.

It is an arithmetic number, because the mean of its divisors is an integer number (641272800).

Almost surely, 2135954741384 is an apocalyptic number.

135954741384 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 135954741384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246248755200).

135954741384 is an abundant number, since it is smaller than the sum of its proper divisors (356542769016).

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

135954741384 is a wasteful number, since it uses less digits than its factorization.

135954741384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 330 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 135954741384 in words is "one hundred thirty-five billion, nine hundred fifty-four million, seven hundred forty-one thousand, three hundred eighty-four".