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148455046800 = 243252419710369
BaseRepresentation
bin1000101001000010011…
…1000011111010010000
3112012012002100202111200
42022100213003322100
54413013442444200
6152111014511200
713503566035344
oct2122047037220
9465162322450
10148455046800
1157a61004a25
1224931365500
1310ccb47ac78
147284509624
153cdd155800
hex22909c3e90

148455046800 has 360 divisors, whose sum is σ = 533237719560. Its totient is φ = 38220595200.

The previous prime is 148455046783. The next prime is 148455046813. The reversal of 148455046800 is 8640554841.

It is a happy number.

148455046800 is a `hidden beast` number, since 1 + 4 + 84 + 5 + 504 + 68 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 119871058176 + 28583988624 = 346224^2 + 169068^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14312016 + ... + 14322384.

Almost surely, 2148455046800 is an apocalyptic number.

148455046800 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 148455046800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266618859780).

148455046800 is an abundant number, since it is smaller than the sum of its proper divisors (384782672760).

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

148455046800 is a wasteful number, since it uses less digits than its factorization.

148455046800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10531 (or 10517 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 148455046800 in words is "one hundred forty-eight billion, four hundred fifty-five million, forty-six thousand, eight hundred".