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148227563520 = 213345431039
BaseRepresentation
bin1000101000001100001…
…1010010000000000000
3112011121020022102010000
42022003003102000000
54412032224013040
6152032251040000
713465134333651
oct2120303220000
9464536272100
10148227563520
1157954660413
1224889140000
1310c932c038a
147262211528
153cc81bd130
hex22830d2000

148227563520 has 560 divisors, whose sum is σ = 544272094080. Its totient is φ = 38570950656.

The previous prime is 148227563503. The next prime is 148227563521. The reversal of 148227563520 is 25365722841.

148227563520 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 2 + 7 + 5 + 635 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (148227563521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142663161 + ... + 142664199.

Almost surely, 2148227563520 is an apocalyptic number.

148227563520 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 148227563520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272136047040).

148227563520 is an abundant number, since it is smaller than the sum of its proper divisors (396044530560).

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

148227563520 is an equidigital number, since it uses as much as digits as its factorization.

148227563520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 148227563520 in words is "one hundred forty-eight billion, two hundred twenty-seven million, five hundred sixty-three thousand, five hundred twenty".