Search a number
-
+
335630036532 = 22372331411031327
BaseRepresentation
bin1001110001001010001…
…10111110111000110100
31012002022122010102022210
410320211012332320310
520444332242132112
6414104124253420
733151140145020
oct4704506767064
91162278112283
10335630036532
1111a38145108a
12550699a1270
132585a73696b
141235d1b3380
158ae56e1b3c
hex4e251bee34

335630036532 has 384 divisors, whose sum is σ = 997906710528. Its totient is φ = 85695667200.

The previous prime is 335630036531. The next prime is 335630036557. The reversal of 335630036532 is 235630036533.

335630036532 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3356300365322 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335630036531) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 252923253 + ... + 252924579.

It is an arithmetic number, because the mean of its divisors is an integer number (2598715392).

Almost surely, 2335630036532 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 335630036532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498953355264).

335630036532 is an abundant number, since it is smaller than the sum of its proper divisors (662276673996).

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

335630036532 is a wasteful number, since it uses less digits than its factorization.

335630036532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 39.

Subtracting from 335630036532 its reverse (235630036533), we obtain a palindrome (99999999999).

The spelling of 335630036532 in words is "three hundred thirty-five billion, six hundred thirty million, thirty-six thousand, five hundred thirty-two".