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148870867200 = 283521119231613
BaseRepresentation
bin1000101010100101100…
…1010010100100000000
3112020021001210121212020
42022221121102210000
54414341420222300
6152220151201440
713520105330616
oct2125131224400
9466231717766
10148870867200
11581547a5a50
1224a28676280
131106666b443
1472c382b6b6
153d148e18a0
hex22a9652900

148870867200 has 864 divisors, whose sum is σ = 589072296960. Its totient is φ = 32683622400.

The previous prime is 148870867163. The next prime is 148870867237. The reversal of 148870867200 is 2768078841.

148870867200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (148870867163) and next prime (148870867237).

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 95 ways as a sum of consecutive naturals, for example, 92293594 + ... + 92295206.

It is an arithmetic number, because the mean of its divisors is an integer number (681796640).

Almost surely, 2148870867200 is an apocalyptic number.

148870867200 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 148870867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294536148480).

148870867200 is an abundant number, since it is smaller than the sum of its proper divisors (440201429760).

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

148870867200 is a wasteful number, since it uses less digits than its factorization.

148870867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 51.

The spelling of 148870867200 in words is "one hundred forty-eight billion, eight hundred seventy million, eight hundred sixty-seven thousand, two hundred".