Search a number
-
+
149518881072896 = 283756941277223
BaseRepresentation
bin100001111111110010010011…
…110010110010011100000000
3201121101212100220022222000012
4201333302103302302130000
5124044204132023313041
61250000005315444052
743331245154304536
oct4177622362623400
9647355326288005
10149518881072896
1143706668464345
12149299168b6628
13655775434912a
1428cca76a54156
1512444e11e33eb
hex87fc93cb2700

149518881072896 has 72 divisors (see below), whose sum is σ = 306526509157344. Its totient is φ = 72737375293440.

The previous prime is 149518881072893. The next prime is 149518881072923. The reversal of 149518881072896 is 698270188815941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149518881072893) 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 7 ways as a sum of consecutive naturals, for example, 539206541 + ... + 539483763.

Almost surely, 2149518881072896 is an apocalyptic number.

149518881072896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

149518881072896 is an abundant number, since it is smaller than the sum of its proper divisors (157007628084448).

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

149518881072896 is an equidigital number, since it uses as much as digits as its factorization.

149518881072896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334217 (or 334203 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 77.

The spelling of 149518881072896 in words is "one hundred forty-nine trillion, five hundred eighteen billion, eight hundred eighty-one million, seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 2368 4736 9472 56941 113882 227764 277223 455528 554446 911056 1108892 1822112 2106817 2217784 3644224 4213634 4435568 7288448 8427268 8871136 10257251 14576896 16854536 17742272 20514502 33709072 35484544 41029004 67418144 70969088 82058008 134836288 164116016 269672576 328232032 539345152 656464064 1312928128 2625856256 15785354843 31570709686 63141419372 126282838744 252565677488 505131354976 584058129191 1010262709952 1168116258382 2020525419904 2336232516764 4041050839808 4672465033528 9344930067056 18689860134112 37379720268224 74759440536448 149518881072896