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148735511771 = 71111317094071
BaseRepresentation
bin1000101010000101010…
…0111100110011011011
3112012220122002212010012
42022201110330303123
54414102242334041
6152154514112135
713513542663440
oct2124124746333
9465818085105
10148735511771
1158095356460
12249ab27b64b
13110445c9182
1472ad8759c7
153d07aa63eb
hex22a153ccdb

148735511771 has 16 divisors (see below), whose sum is σ = 187077523968. Its totient is φ = 114872150400.

The previous prime is 148735511753. The next prime is 148735511777. The reversal of 148735511771 is 177115537841.

148735511771 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-148735511771 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (148735511777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8538335 + ... + 8555736.

It is an arithmetic number, because the mean of its divisors is an integer number (11692345248).

Almost surely, 2148735511771 is an apocalyptic number.

148735511771 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

148735511771 is a deficient number, since it is larger than the sum of its proper divisors (38342012197).

148735511771 is a wasteful number, since it uses less digits than its factorization.

148735511771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17094202.

The product of its digits is 823200, while the sum is 50.

The spelling of 148735511771 in words is "one hundred forty-eight billion, seven hundred thirty-five million, five hundred eleven thousand, seven hundred seventy-one".

Divisors: 1 7 11 77 113 791 1243 8701 17094071 119658497 188034781 1316243467 1931630023 13521410161 21247930253 148735511771