Search a number
-
+
46407240374901 = 3747491271135323
BaseRepresentation
bin10101000110101000001110…
…00100111101101001110101
320002022111012101002002100220
422203110013010331221311
522040314012013444101
6242411105241524553
712526545451451520
oct1243240704755165
9202274171062326
1046407240374901
11138722223a272a
12525604aaa3759
131cb82512c11a3
14b6619dcb9bb7
1555725b049636
hex2a350713da75

46407240374901 has 64 divisors (see below), whose sum is σ = 72396218105856. Its totient is φ = 25891054257600.

The previous prime is 46407240374897. The next prime is 46407240374923. The reversal of 46407240374901 is 10947304270464.

It is a happy number.

46407240374901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 46407240374901 - 22 = 46407240374897 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46407240374941) 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 63 ways as a sum of consecutive naturals, for example, 1313779026 + ... + 1313814348.

It is an arithmetic number, because the mean of its divisors is an integer number (1131190907904).

Almost surely, 246407240374901 is an apocalyptic number.

It is an amenable number.

46407240374901 is a deficient number, since it is larger than the sum of its proper divisors (25988977730955).

46407240374901 is a wasteful number, since it uses less digits than its factorization.

46407240374901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38582.

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 46407240374901 in words is "forty-six trillion, four hundred seven billion, two hundred forty million, three hundred seventy-four thousand, nine hundred one".

Divisors: 1 3 7 21 47 141 329 491 987 1473 2711 3437 8133 10311 18977 23077 35323 56931 69231 105969 127417 161539 247261 382251 484617 741783 891919 1331101 1660181 2675757 3993303 4980543 9317707 11621267 17343593 27953121 34863801 52030779 62561747 95760653 121405151 187685241 287281959 364215453 437932229 670324571 815148871 1313796687 2010973713 2445446613 4500750691 5706042097 13502252073 17118126291 31505254837 47018480623 94515764511 141055441869 329129364361 987388093083 2209868589281 6629605767843 15469080124967 46407240374901