Search a number
-
+
46442067224753 = 29671031483115647
BaseRepresentation
bin10101000111101001000101…
…11010110110100010110001
320002102211002111221100221202
422203310202322312202301
522041401323202143003
6242435105142100545
712532220502006104
oct1243644272664261
9202384074840852
1046442067224753
1113885a7422a472
12526094a41a755
131cbb61169ba55
14b67b453d273b
155580e87c6088
hex2a3d22eb68b1

46442067224753 has 32 divisors (see below), whose sum is σ = 49240455413760. Its totient is φ = 43736760809280.

The previous prime is 46442067224743. The next prime is 46442067224807. The reversal of 46442067224753 is 35742276024464.

It is a happy number.

46442067224753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 46442067224753 - 228 = 46441798789297 is a prime.

It is a super-2 number, since 2×464420672247532 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46442067224743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2968105376 + ... + 2968121022.

It is an arithmetic number, because the mean of its divisors is an integer number (1538764231680).

Almost surely, 246442067224753 is an apocalyptic number.

It is an amenable number.

46442067224753 is a deficient number, since it is larger than the sum of its proper divisors (2798388189007).

46442067224753 is a wasteful number, since it uses less digits than its factorization.

46442067224753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30677.

The product of its (nonzero) digits is 54190080, while the sum is 56.

The spelling of 46442067224753 in words is "forty-six trillion, four hundred forty-two billion, sixty-seven million, two hundred twenty-four thousand, seven hundred fifty-three".

Divisors: 1 29 67 103 1943 2987 6901 14831 15647 200129 430099 453763 993677 1048349 1527593 1611641 28816633 30402121 44300197 46737589 102348731 107979947 232060657 2968113199 3131418463 6729759053 15548064019 23902247671 450893856551 693165182459 1601450593957 46442067224753