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148293164136 = 233132293167607
BaseRepresentation
bin1000101000011011110…
…1100001110001101000
3112011202210202021020110
42022012331201301220
54412201022223021
6152042553054320
713466562045255
oct2120675416150
9464683667213
10148293164136
11579886970a7
12248a70b73a0
1310ca3a7b600
14726ac0a42c
153ccdd2a476
hex2286f61c68

148293164136 has 384 divisors, whose sum is σ = 435798835200. Its totient is φ = 41928606720.

The previous prime is 148293164099. The next prime is 148293164147. The reversal of 148293164136 is 631461392841.

148293164136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 244304745 + ... + 244305351.

It is an arithmetic number, because the mean of its divisors is an integer number (1134892800).

Almost surely, 2148293164136 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 148293164136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217899417600).

148293164136 is an abundant number, since it is smaller than the sum of its proper divisors (287505671064).

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

148293164136 is a wasteful number, since it uses less digits than its factorization.

148293164136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 752 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The spelling of 148293164136 in words is "one hundred forty-eight billion, two hundred ninety-three million, one hundred sixty-four thousand, one hundred thirty-six".