Search a number
-
+
146452634136 = 23322388437581
BaseRepresentation
bin1000100001100101000…
…0011101101000011000
3112000000112110122201200
42020121100131220120
54344413333243021
6151140204114200
713403142564504
oct2103120355030
9460015418650
10146452634136
115712376a726
1224472835960
1310a6c66a6c3
1471345c3304
153c22468126
hex221941da18

146452634136 has 48 divisors (see below), whose sum is σ = 413887883760. Its totient is φ = 46695042240.

The previous prime is 146452634123. The next prime is 146452634179. The reversal of 146452634136 is 631436254641.

146452634136 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 5 + 2 + 634 + 1 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 146452634091 and 146452634100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44217135 + ... + 44220446.

It is an arithmetic number, because the mean of its divisors is an integer number (8622664245).

Almost surely, 2146452634136 is an apocalyptic number.

It is an amenable number.

146452634136 is an abundant number, since it is smaller than the sum of its proper divisors (267435249624).

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

146452634136 is a wasteful number, since it uses less digits than its factorization.

146452634136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88437616 (or 88437609 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

Adding to 146452634136 its reverse (631436254641), we get a palindrome (777888888777).

The spelling of 146452634136 in words is "one hundred forty-six billion, four hundred fifty-two million, six hundred thirty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 88437581 176875162 265312743 353750324 530625486 707500648 795938229 1061250972 1591876458 2034064363 2122501944 3183752916 4068128726 6102193089 6367505832 8136257452 12204386178 16272514904 18306579267 24408772356 36613158534 48817544712 73226317068 146452634136