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1146146385 = 35618291511
BaseRepresentation
bin100010001010000…
…1100111001010001
32221212200021021010
41010110030321101
54321403141020
6305421521133
740255040436
oct10424147121
92855607233
101146146385
11538a7381a
1227ba131a9
131535ba037
14ac311b8d
156a94dde0
hex4450ce51

1146146385 has 32 divisors (see below), whose sum is σ = 1867380480. Its totient is φ = 600134400.

The previous prime is 1146146383. The next prime is 1146146387. The reversal of 1146146385 is 5836416411.

It is an interprime number because it is at equal distance from previous prime (1146146383) and next prime (1146146387).

It is not a de Polignac number, because 1146146385 - 21 = 1146146383 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1146146383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 757780 + ... + 759290.

It is an arithmetic number, because the mean of its divisors is an integer number (58355640).

Almost surely, 21146146385 is an apocalyptic number.

1146146385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1146146385 is a deficient number, since it is larger than the sum of its proper divisors (721234095).

1146146385 is a wasteful number, since it uses less digits than its factorization.

1146146385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409.

The product of its digits is 69120, while the sum is 39.

The square root of 1146146385 is about 33854.7837830933. The cubic root of 1146146385 is about 1046.5179849636.

The spelling of 1146146385 in words is "one billion, one hundred forty-six million, one hundred forty-six thousand, three hundred eighty-five".

Divisors: 1 3 5 15 61 183 305 829 915 1511 2487 4145 4533 7555 12435 22665 50569 92171 151707 252845 276513 460855 758535 1252619 1382565 3757857 6263095 18789285 76409759 229229277 382048795 1146146385