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150378813 = 32131285289
BaseRepresentation
bin10001111011010…
…01100100111101
3101110222000221200
420331221210331
5301444110223
622531050113
73504125124
oct1075514475
9343860850
10150378813
1177980912
1242440939
1325202460
1415d86abb
15d306a43
hex8f6993d

150378813 has 12 divisors (see below), whose sum is σ = 233922780. Its totient is φ = 92540736.

The previous prime is 150378797. The next prime is 150378829. The reversal of 150378813 is 318873051.

150378813 is a `hidden beast` number, since 1 + 503 + 78 + 81 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (150378797) and next prime (150378829).

It can be written as a sum of positive squares in 2 ways, for example, as 99141849 + 51236964 = 9957^2 + 7158^2 .

It is not a de Polignac number, because 150378813 - 24 = 150378797 is a prime.

It is a super-2 number, since 2×1503788132 = 45227574798577938, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150378883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 642528 + ... + 642761.

It is an arithmetic number, because the mean of its divisors is an integer number (19493565).

Almost surely, 2150378813 is an apocalyptic number.

150378813 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

150378813 is a deficient number, since it is larger than the sum of its proper divisors (83543967).

150378813 is a wasteful number, since it uses less digits than its factorization.

150378813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285308 (or 1285305 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 150378813 is about 12262.9039383011. The cubic root of 150378813 is about 531.7761851323.

The spelling of 150378813 in words is "one hundred fifty million, three hundred seventy-eight thousand, eight hundred thirteen".

Divisors: 1 3 9 13 39 117 1285289 3855867 11567601 16708757 50126271 150378813