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148230447552 = 26331125131069
BaseRepresentation
bin1000101000001100111…
…0010010000111000000
3112011121102201221021000
42022003032102013000
54412033443310202
6152032432532000
713465201005135
oct2120316220700
9464542657230
10148230447552
1157956250210
122488a0b1000
1310c93a8ccc5
14726276258c
153cc858c91c
hex22833921c0

148230447552 has 224 divisors, whose sum is σ = 477294854400. Its totient is φ = 44737920000.

The previous prime is 148230447503. The next prime is 148230447637. The reversal of 148230447552 is 255744032841.

148230447552 is a `hidden beast` number, since 14 + 82 + 3 + 0 + 4 + 4 + 7 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 148230447498 and 148230447507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4755474 + ... + 4786542.

It is an arithmetic number, because the mean of its divisors is an integer number (2130780600).

Almost surely, 2148230447552 is an apocalyptic number.

148230447552 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 148230447552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238647427200).

148230447552 is an abundant number, since it is smaller than the sum of its proper divisors (329064406848).

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

148230447552 is a wasteful number, since it uses less digits than its factorization.

148230447552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31352 (or 31336 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 148230447552 in words is "one hundred forty-eight billion, two hundred thirty million, four hundred forty-seven thousand, five hundred fifty-two".