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148405663 = 72101157191
BaseRepresentation
bin10001101100001…
…11110110011111
3101100020210022001
420312013312133
5300442440123
622420503131
73451266400
oct1066076637
9340223261
10148405663
117685340a
124184aaa7
1324991303
14159d19a7
15d0670ad
hex8d87d9f

148405663 has 24 divisors (see below), whose sum is σ = 176373504. Its totient is φ = 124488000.

The previous prime is 148405651. The next prime is 148405681. The reversal of 148405663 is 366504841.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-148405663 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148405633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 776898 + ... + 777088.

It is an arithmetic number, because the mean of its divisors is an integer number (7348896).

Almost surely, 2148405663 is an apocalyptic number.

148405663 is a deficient number, since it is larger than the sum of its proper divisors (27967841).

148405663 is a wasteful number, since it uses less digits than its factorization.

148405663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 148405663 is about 12182.1862980337. The cubic root of 148405663 is about 529.4400910331.

It can be divided in two parts, 14840 and 5663, that added together give a triangular number (20503 = T202).

The spelling of 148405663 in words is "one hundred forty-eight million, four hundred five thousand, six hundred sixty-three".

Divisors: 1 7 49 101 157 191 707 1099 1337 4949 7693 9359 15857 19291 29987 110999 135037 209909 776993 945259 1469363 3028687 21200809 148405663