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148124893752 = 23351131122273
BaseRepresentation
bin1000100111110011101…
…1101000001000111000
3112011100002010020200000
42021330323220020320
54411324433100002
6152014142313000
713462446552123
oct2117473501070
9464302106600
10148124893752
1157901706070
122485a888760
1310c77c53634
1472527273ba
153cbe18c61c
hex227cee8238

148124893752 has 192 divisors, whose sum is σ = 455330453760. Its totient is φ = 44739993600.

The previous prime is 148124893747. The next prime is 148124893757. The reversal of 148124893752 is 257398421841.

148124893752 is a `hidden beast` number, since 1 + 4 + 81 + 2 + 489 + 37 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (148124893747) and next prime (148124893757).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148124893757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6639288 + ... + 6661560.

It is an arithmetic number, because the mean of its divisors is an integer number (2371512780).

Almost surely, 2148124893752 is an apocalyptic number.

148124893752 is a gapful number since it is divisible by the number (12) 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 148124893752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227665226880).

148124893752 is an abundant number, since it is smaller than the sum of its proper divisors (307205560008).

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

148124893752 is a wasteful number, since it uses less digits than its factorization.

148124893752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22616 (or 22600 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 148124893752 in words is "one hundred forty-eight billion, one hundred twenty-four million, eight hundred ninety-three thousand, seven hundred fifty-two".