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148254023808 = 27321167174617
BaseRepresentation
bin1000101000010010100…
…0001110000010000000
3112011200002002201210200
42022010220032002000
54412111012230213
6152035034125200
713465605260442
oct2120450160200
9464602081720
10148254023808
1157968593420
1224895b80800
1310c98926157
14726593c492
153cca698273
hex2284a0e080

148254023808 has 192 divisors, whose sum is σ = 472348674720. Its totient is φ = 44254679040.

The previous prime is 148254023779. The next prime is 148254023809. The reversal of 148254023808 is 808320452841.

148254023808 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 540 + 23 + 80 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (148254023809) 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, 761716 + ... + 936332.

Almost surely, 2148254023808 is an apocalyptic number.

148254023808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148254023808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236174337360).

148254023808 is an abundant number, since it is smaller than the sum of its proper divisors (324094650912).

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

148254023808 is a wasteful number, since it uses less digits than its factorization.

148254023808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174715 (or 174700 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 148254023808 in words is "one hundred forty-eight billion, two hundred fifty-four million, twenty-three thousand, eight hundred eight".