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147382441920 = 2634573126203
BaseRepresentation
bin1000100101000010101…
…1011001011111000000
3112002102100001210020000
42021100223121133000
54403314401120140
6151412341120000
713435163041410
oct2112053313700
9462370053200
10147382441920
115756060100a
12246920b9000
1310b8a19c71c
1471c1c9c640
153c78dd1a30
hex2250ad97c0

147382441920 has 560 divisors, whose sum is σ = 618511669248. Its totient is φ = 32599480320.

The previous prime is 147382441909. The next prime is 147382441933. The reversal of 147382441920 is 29144283741.

147382441920 is a `hidden beast` number, since 1 + 47 + 3 + 82 + 441 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5611539 + ... + 5637741.

Almost surely, 2147382441920 is an apocalyptic number.

147382441920 is a gapful number since it is divisible by the number (10) 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 147382441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309255834624).

147382441920 is an abundant number, since it is smaller than the sum of its proper divisors (471129227328).

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

147382441920 is a wasteful number, since it uses less digits than its factorization.

147382441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26270 (or 26251 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 147382441920 in words is "one hundred forty-seven billion, three hundred eighty-two million, four hundred forty-one thousand, nine hundred twenty".