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32135201334 = 2331986336293
BaseRepresentation
bin11101111011011010…
…000100001000110110
310001221120001100222000
4131323122010020312
51011303102420314
622432424520130
72215224463425
oct357332041066
9101846040860
1032135201334
11126a0535435
12628a020046
133051859542
1417abc592bc
15c812e6209
hex77b684236

32135201334 has 64 divisors (see below), whose sum is σ = 75259238400. Its totient is φ = 10135920096.

The previous prime is 32135201291. The next prime is 32135201347. The reversal of 32135201334 is 43310253123.

32135201334 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 520 + 133 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 32135201298 and 32135201307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 867292 + ... + 903584.

It is an arithmetic number, because the mean of its divisors is an integer number (1175925600).

Almost surely, 232135201334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32135201334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37629619200).

32135201334 is an abundant number, since it is smaller than the sum of its proper divisors (43124037066).

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

32135201334 is a wasteful number, since it uses less digits than its factorization.

32135201334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37186 (or 37180 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 32135201334 its reverse (43310253123), we get a palindrome (75445454457).

The spelling of 32135201334 in words is "thirty-two billion, one hundred thirty-five million, two hundred one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 863 1026 1726 2589 5178 7767 15534 16397 23301 32794 36293 46602 49191 72586 98382 108879 147573 217758 295146 326637 442719 653274 689567 885438 979911 1379134 1959822 2068701 4137402 6206103 12412206 18618309 31320859 37236618 62641718 93962577 187925154 281887731 563775462 595096321 845663193 1190192642 1691326386 1785288963 3570577926 5355866889 10711733778 16067600667 32135201334