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148110011148 = 2231159129114731
BaseRepresentation
bin1000100111110000001…
…0110110101100001100
3112011022001010010120110
42021330002312230030
54411312130324043
6152012451320020
713462206215451
oct2117402665414
9464261103513
10148110011148
11578a42705a0
12248558b0010
1310c74b42568
147250771828
153cbcbecb33
hex227c0b6b0c

148110011148 has 96 divisors (see below), whose sum is σ = 383720279040. Its totient is φ = 44083944000.

The previous prime is 148110011129. The next prime is 148110011197. The reversal of 148110011148 is 841110011841.

It is a super-3 number, since 3×1481100111483 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10046943 + ... + 10061673.

It is an arithmetic number, because the mean of its divisors is an integer number (3997086240).

Almost surely, 2148110011148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148110011148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191860139520).

148110011148 is an abundant number, since it is smaller than the sum of its proper divisors (235610267892).

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

148110011148 is a wasteful number, since it uses less digits than its factorization.

148110011148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16099 (or 16097 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 30.

Adding to 148110011148 its reverse (841110011841), we get a palindrome (989220022989).

The spelling of 148110011148 in words is "one hundred forty-eight billion, one hundred ten million, eleven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 649 708 1291 1298 1947 2582 2596 3873 3894 5164 7746 7788 14201 14731 15492 28402 29462 42603 44193 56804 58924 76169 85206 88386 152338 162041 170412 176772 228507 304676 324082 457014 486123 648164 837859 869129 914028 972246 1675718 1738258 1944492 2513577 2607387 3351436 3476516 5027154 5214774 9560419 10054308 10429548 19017721 19120838 28681257 38035442 38241676 57053163 57362514 76070884 114106326 114725028 209194931 228212652 418389862 627584793 836779724 1122045539 1255169586 2244091078 2510339172 3366136617 4488182156 6732273234 12342500929 13464546468 24685001858 37027502787 49370003716 74055005574 148110011148