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135169805430 = 23451121638461
BaseRepresentation
bin111110111100010111…
…1111000110001110110
3110220220012211120110000
41331320233320301312
54203311432233210
6142032434012130
712523430250252
oct1757057706166
9426805746400
10135169805430
1152363916500
1222244117046
13c991c77cba
146783d2d262
1537b1b5cac0
hex1f78bf8c76

135169805430 has 240 divisors, whose sum is σ = 402000307632. Its totient is φ = 32563555200.

The previous prime is 135169805401. The next prime is 135169805447. The reversal of 135169805430 is 34508961531.

135169805430 is a `hidden beast` number, since 1 + 3 + 5 + 16 + 98 + 0 + 543 + 0 = 666.

It is a super-3 number, since 3×1351698054303 (a number of 34 digits) contains 333 as substring.

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 119 ways as a sum of consecutive naturals, for example, 15971400 + ... + 15979860.

Almost surely, 2135169805430 is an apocalyptic number.

135169805430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135169805430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201000153816).

135169805430 is an abundant number, since it is smaller than the sum of its proper divisors (266830502202).

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

135169805430 is a wasteful number, since it uses less digits than its factorization.

135169805430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8665 (or 8645 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 135169805430 in words is "one hundred thirty-five billion, one hundred sixty-nine million, eight hundred five thousand, four hundred thirty".