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148116755164041 = 32149131249841549
BaseRepresentation
bin100001101011011000011110…
…100100111010101110001001
3201102102211020100001210211100
4201223120132210322232021
5123403221103310222131
61243003521543252013
743125040161601506
oct4153303644725611
9642384210053740
10148116755164041
1143215a65992294
121474202974a009
136485472182631
142880c63d764ad
15121cccb5ee7e6
hex86b61e93ab89

148116755164041 has 24 divisors (see below), whose sum is σ = 215384203125000. Its totient is φ = 98080924810752.

The previous prime is 148116755164009. The next prime is 148116755164123. The reversal of 148116755164041 is 140461557611841.

148116755164041 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 1 + 6 + 7 + 551 + 6 + 40 + 41 = 666.

148116755164041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14420816375625 + 133695938788416 = 3797475^2 + 11562696^2 .

It is not a de Polignac number, because 148116755164041 - 25 = 148116755164009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (148116755166041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175584135 + ... + 176425683.

It is an arithmetic number, because the mean of its divisors is an integer number (8974341796875).

Almost surely, 2148116755164041 is an apocalyptic number.

It is an amenable number.

148116755164041 is a deficient number, since it is larger than the sum of its proper divisors (67267447960959).

148116755164041 is a wasteful number, since it uses less digits than its factorization.

148116755164041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972953 (or 972950 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 148116755164041 in words is "one hundred forty-eight trillion, one hundred sixteen billion, seven hundred fifty-five million, one hundred sixty-four thousand, forty-one".

Divisors: 1 3 9 149 447 1341 131249 393747 841549 1181241 2524647 7573941 19556101 58668303 125390801 176004909 376172403 1128517209 110452464701 331357394103 994072182309 16457417240449 49372251721347 148116755164041