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148220312889 = 31137312041621
BaseRepresentation
bin1000101000001010011…
…1100111110100111001
3112011120201200001010010
42022002213213310321
54412023400003024
6152031431412133
713465015605045
oct2120247476471
9464521601103
10148220312889
1157950558960
1224886824049
1310c9195206c
147261285025
153cc7739b29
hex22829e7d39

148220312889 has 16 divisors (see below), whose sum is σ = 216171198144. Its totient is φ = 89589652800.

The previous prime is 148220312869. The next prime is 148220312893. The reversal of 148220312889 is 988213022841.

148220312889 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 148220312889 - 219 = 148219788601 is a prime.

It is a super-2 number, since 2×1482203128892 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (148220312869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6008502 + ... + 6033119.

It is an arithmetic number, because the mean of its divisors is an integer number (13510699884).

Almost surely, 2148220312889 is an apocalyptic number.

It is an amenable number.

148220312889 is a deficient number, since it is larger than the sum of its proper divisors (67950885255).

148220312889 is a wasteful number, since it uses less digits than its factorization.

148220312889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12042008.

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 148220312889 in words is "one hundred forty-eight billion, two hundred twenty million, three hundred twelve thousand, eight hundred eighty-nine".

Divisors: 1 3 11 33 373 1119 4103 12309 12041621 36124863 132457831 397373493 4491524633 13474573899 49406770963 148220312889