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148656656841 = 37112417273673
BaseRepresentation
bin1000101001110010100…
…0001001000111001001
3112012201010201121111020
42022130220021013021
54413422101004331
6152143020023053
713511564506620
oct2123450110711
9465633647436
10148656656841
11580548975a0
1224988991a89
131103117a054
1472a31ca6b7
153d00bcbc96
hex229ca091c9

148656656841 has 64 divisors (see below), whose sum is σ = 248551919616. Its totient is φ = 76777113600.

The previous prime is 148656656653. The next prime is 148656656923.

It is a happy number.

148656656841 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 148656656841 - 210 = 148656655817 is a prime.

It is a super-3 number, since 3×1486566568413 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (148656651841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40470981 + ... + 40474653.

It is an arithmetic number, because the mean of its divisors is an integer number (3883623744).

Almost surely, 2148656656841 is an apocalyptic number.

148656656841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

148656656841 is a deficient number, since it is larger than the sum of its proper divisors (99895262775).

148656656841 is a wasteful number, since it uses less digits than its factorization.

148656656841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662.

The product of its digits is 33177600, while the sum is 60.

The spelling of 148656656841 in words is "one hundred forty-eight billion, six hundred fifty-six million, six hundred fifty-six thousand, eight hundred forty-one".

Divisors: 1 3 7 11 21 33 77 231 241 723 727 1687 2181 2651 3673 5061 5089 7953 7997 11019 15267 18557 23991 25711 40403 55671 55979 77133 121209 167937 175207 282821 525621 848463 885193 1226449 1927277 2655579 2670271 3679347 5781831 6196351 8010813 9737123 13490939 18589053 18691897 29211369 29372981 40472817 56075691 68159861 88118943 204479583 205610867 616832601 643535311 1930605933 4504747177 7078888421 13514241531 21236665263 49552218947 148656656841