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148532300910864 = 24331326448059279
BaseRepresentation
bin100001110001011011011111…
…000010001001000100010000
3201110220112211102200221102000
4201301123133002021010100
5123432023123013121424
61243522444054554000
743200050611300533
oct4161333702110420
9643815742627360
10148532300910864
11433662166a9332
12147aa67b068900
1364b56c741b320
142897004a22a1a
1512289ecbb03c9
hex8716df089110

148532300910864 has 80 divisors (see below), whose sum is σ = 459138309100800. Its totient is φ = 45702246432384.

The previous prime is 148532300910823. The next prime is 148532300910899. The reversal of 148532300910864 is 468019003235841.

It is a happy number.

148532300910864 is a `hidden beast` number, since 1 + 4 + 8 + 532 + 30 + 0 + 9 + 10 + 8 + 64 = 666.

148532300910864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 148532300910864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13224024024 + ... + 13224035255.

It is an arithmetic number, because the mean of its divisors is an integer number (5739228863760).

Almost surely, 2148532300910864 is an apocalyptic number.

It is an amenable number.

148532300910864 is an abundant number, since it is smaller than the sum of its proper divisors (310606008189936).

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

148532300910864 is a wasteful number, since it uses less digits than its factorization.

148532300910864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26448059309 (or 26448059297 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 148532300910864 in words is "one hundred forty-eight trillion, five hundred thirty-two billion, three hundred million, nine hundred ten thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 26448059279 52896118558 79344177837 105792237116 158688355674 211584474232 238032533511 317376711348 343824770627 423168948464 476065067022 634753422696 687649541254 714097600533 952130134044 1031474311881 1269506845392 1375299082508 1428195201066 1904260268088 2062948623762 2750598165016 2856390402132 3094422935643 3808520536176 4125897247524 5501196330032 5712780804264 6188845871286 8251794495048 9283268806929 11425561608528 12377691742572 16503588990096 18566537613858 24755383485144 37133075227716 49510766970288 74266150455432 148532300910864