Search a number
-
+
134615384600 = 23523834433967
BaseRepresentation
bin111110101011110110…
…0111100001000011000
3110212110120121002001012
41331113230330020120
54201143014301400
6141501430513052
712503615614064
oct1752754741030
9425416532035
10134615384600
11520a9969974
122210a505788
13c90414a538
14673044caa4
15377d144d35
hex1f57b3c218

134615384600 has 96 divisors (see below), whose sum is σ = 314585579520. Its totient is φ = 53570824320.

The previous prime is 134615384599. The next prime is 134615384621. The reversal of 134615384600 is 6483516431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33931817 + ... + 33935783.

It is an arithmetic number, because the mean of its divisors is an integer number (3276933120).

Almost surely, 2134615384600 is an apocalyptic number.

134615384600 is a gapful number since it is divisible by the number (10) 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 134615384600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157292789760).

134615384600 is an abundant number, since it is smaller than the sum of its proper divisors (179970194920).

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

134615384600 is a wasteful number, since it uses less digits than its factorization.

134615384600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4809 (or 4800 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 134615384600 in words is "one hundred thirty-four billion, six hundred fifteen million, three hundred eighty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 383 443 766 886 1532 1772 1915 2215 3064 3544 3830 3967 4430 7660 7934 8860 9575 11075 15320 15868 17720 19150 19835 22150 31736 38300 39670 44300 76600 79340 88600 99175 158680 169669 198350 339338 396700 678676 793400 848345 1357352 1519361 1696690 1757381 3038722 3393380 3514762 4241725 6077444 6786760 7029524 7596805 8483450 8786905 12154888 14059048 15193610 16966900 17573810 30387220 33933800 35147620 37984025 43934525 60774440 70295240 75968050 87869050 151936100 175738100 303872200 351476200 673076923 1346153846 2692307692 3365384615 5384615384 6730769230 13461538460 16826923075 26923076920 33653846150 67307692300 134615384600