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219145399158 = 23729643279817
BaseRepresentation
bin1100110000011000010…
…1010110101101110110
3202221122121201201210010
43030012011112231312
512042302210233113
6244401330241050
721555425105160
oct3140605265566
9687577651703
10219145399158
1184a36956a34
123657b426186
131788593762a
14a86caa7930
155a791801c3
hex3306156b76

219145399158 has 64 divisors (see below), whose sum is σ = 518984040960. Its totient is φ = 60359668992.

The previous prime is 219145399153. The next prime is 219145399177. The reversal of 219145399158 is 851993541912.

219145399158 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 219145399098 and 219145399107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219145399153) 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 31 ways as a sum of consecutive naturals, for example, 643266 + ... + 923082.

It is an arithmetic number, because the mean of its divisors is an integer number (8109125640).

Almost surely, 2219145399158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219145399158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259492020480).

219145399158 is an abundant number, since it is smaller than the sum of its proper divisors (299838641802).

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

219145399158 is a wasteful number, since it uses less digits than its factorization.

219145399158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280501.

The product of its digits is 3499200, while the sum is 57.

The spelling of 219145399158 in words is "two hundred nineteen billion, one hundred forty-five million, three hundred ninety-nine thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 643 1218 1286 1929 3858 4501 9002 13503 18647 27006 37294 55941 111882 130529 261058 279817 391587 559634 783174 839451 1678902 1958719 3917438 5876157 8114693 11752314 16229386 24344079 48688158 56802851 113605702 170408553 179922331 340817106 359844662 539766993 1079533986 1259456317 2518912634 3778368951 5217747599 7556737902 10435495198 15653242797 31306485594 36524233193 73048466386 109572699579 219145399158