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4648938538932 = 22324116131952689
BaseRepresentation
bin100001110100110101001…
…0101001000011110110100
3121110102201112001010012100
41003221222111020132310
51102132011231221212
613515405355022100
7656606013402162
oct103515225103664
917412645033170
104648938538932
111532670675866
12630bb413a930
1327951561978c
1412101cd68232
1580de23eabdc
hex43a6a5487b4

4648938538932 has 72 divisors (see below), whose sum is σ = 12045574424520. Its totient is φ = 1510911866880.

The previous prime is 4648938538931. The next prime is 4648938538957. The reversal of 4648938538932 is 2398358398464.

It is a happy number.

4648938538932 is a `hidden beast` number, since 4 + 6 + 4 + 89 + 3 + 8 + 538 + 9 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 782736556176 + 3866201982756 = 884724^2 + 1966266^2 .

It is a super-2 number, since 2×46489385389322 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4648938538931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1404444 + ... + 3357132.

It is an arithmetic number, because the mean of its divisors is an integer number (167299644785).

Almost surely, 24648938538932 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4648938538932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6022787212260).

4648938538932 is an abundant number, since it is smaller than the sum of its proper divisors (7396635885588).

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

4648938538932 is a wasteful number, since it uses less digits than its factorization.

4648938538932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954353 (or 1954348 counting only the distinct ones).

The product of its digits is 1074954240, while the sum is 72.

The spelling of 4648938538932 in words is "four trillion, six hundred forty-eight billion, nine hundred thirty-eight million, five hundred thirty-eight thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 1613 3226 4839 6452 9678 14517 19356 29034 58068 66133 132266 198399 264532 396798 595197 793596 1190394 1952689 2380788 3905378 5858067 7810756 11716134 17574201 23432268 35148402 70296804 80060249 160120498 240180747 320240996 480361494 720542241 960722988 1441084482 2882168964 3149687357 6299374714 9449062071 12598749428 18898124142 28347186213 37796248284 56694372426 113388744852 129137181637 258274363274 387411544911 516548726548 774823089822 1162234634733 1549646179644 2324469269466 4648938538932