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148693664 = 2573471913
BaseRepresentation
bin10001101110011…
…10001010100000
3101100210102100202
420313032022200
5301031144124
622431004332
73453606140
oct1067161240
9340712322
10148693664
1176a2a829
12419696a8
1324a62422
1415a68920
15d0c25ae
hex8dce2a0

148693664 has 48 divisors (see below), whose sum is σ = 335700288. Its totient is φ = 63508992.

The previous prime is 148693663. The next prime is 148693669. The reversal of 148693664 is 466396841.

It is not an unprimeable number, because it can be changed into a prime (148693663) 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, 76772 + ... + 78684.

It is an arithmetic number, because the mean of its divisors is an integer number (6993756).

Almost surely, 2148693664 is an apocalyptic number.

148693664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148693664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167850144).

148693664 is an abundant number, since it is smaller than the sum of its proper divisors (187006624).

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

148693664 is a wasteful number, since it uses less digits than its factorization.

148693664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277 (or 2269 counting only the distinct ones).

The product of its digits is 746496, while the sum is 47.

The square root of 148693664 is about 12194.0011481056. The cubic root of 148693664 is about 529.7823527845.

The spelling of 148693664 in words is "one hundred forty-eight million, six hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 347 694 1388 1913 2429 2776 3826 4858 5552 7652 9716 11104 13391 15304 19432 26782 30608 38864 53564 61216 77728 107128 214256 428512 663811 1327622 2655244 4646677 5310488 9293354 10620976 18586708 21241952 37173416 74346832 148693664