Search a number
-
+
45601601616 = 243511728807
BaseRepresentation
bin101010011110000100…
…010011100001010000
311100201001110101100000
4222132010103201100
51221343002222431
632541000330000
73203023134564
oct523604234120
9140631411300
1045601601616
1118380a0826a
128a07a73900
1343b974aa2c
1422c85116a4
1512bd6759e6
hexa9e113850

45601601616 has 60 divisors (see below), whose sum is σ = 132347869472. Its totient is φ = 15200532576.

The previous prime is 45601601611. The next prime is 45601601641. The reversal of 45601601616 is 61610610654.

It is a happy number.

45601601616 is a `hidden beast` number, since 45 + 6 + 0 + 1 + 601 + 6 + 1 + 6 = 666.

It is a super-2 number, since 2×456016016162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45601601611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5860516 + ... + 5868291.

Almost surely, 245601601616 is an apocalyptic number.

It is an amenable number.

45601601616 is an abundant number, since it is smaller than the sum of its proper divisors (86746267856).

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

45601601616 is a wasteful number, since it uses less digits than its factorization.

45601601616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11728830 (or 11728812 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 45601601616 in words is "forty-five billion, six hundred one million, six hundred one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 11728807 23457614 35186421 46915228 70372842 93830456 105559263 140745684 187660912 211118526 281491368 316677789 422237052 562982736 633355578 844474104 950033367 1266711156 1688948208 1900066734 2533422312 2850100101 3800133468 5066844624 5700200202 7600266936 11400400404 15200533872 22800800808 45601601616