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148257208482016 = 2517674067636317
BaseRepresentation
bin100001101101011011010010…
…001111110011100011100000
3201102221020202202202121221011
4201231123102033303203200
5123413021230332411031
61243152231001310304
743141141556236534
oct4155332217634340
9642836682677834
10148257208482016
114326a590148987
12147652a7195394
1364957969335ca
142887989887bc4
15122179c0176b1
hex86d6d23f38e0

148257208482016 has 48 divisors (see below), whose sum is σ = 313663571753616. Its totient is φ = 68726783195136.

The previous prime is 148257208481989. The next prime is 148257208482017. The reversal of 148257208482016 is 610284802752841.

148257208482016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1482572084820163 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148257208482017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2033781711 + ... + 2033854606.

It is an arithmetic number, because the mean of its divisors is an integer number (6534657744867).

Almost surely, 2148257208482016 is an apocalyptic number.

148257208482016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

148257208482016 is an abundant number, since it is smaller than the sum of its proper divisors (165406363271600).

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

148257208482016 is a wasteful number, since it uses less digits than its factorization.

148257208482016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4067636411 (or 4067636403 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 58.

The spelling of 148257208482016 in words is "one hundred forty-eight trillion, two hundred fifty-seven billion, two hundred eight million, four hundred eighty-two thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 67 68 134 136 268 272 536 544 1072 1139 2144 2278 4556 9112 18224 36448 4067636317 8135272634 16270545268 32541090536 65082181072 69149817389 130164362144 138299634778 272531633239 276599269556 545063266478 553198539112 1090126532956 1106397078224 2180253065912 2212794156448 4360506131824 4633037765063 8721012263648 9266075530126 18532151060252 37064302120504 74128604241008 148257208482016