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34135533153 = 323792837017
BaseRepresentation
bin11111110010101000…
…101110011001100001
310021002222000202100200
4133302220232121201
51024402144030103
623403122535413
72315624146551
oct376250563141
9107088022320
1034135533153
1113527689327
126747b07569
1332b00bb937
14191b79d161
15d4bc220a3
hex7f2a2e661

34135533153 has 6 divisors (see below), whose sum is σ = 49306881234. Its totient is φ = 22757022096.

The previous prime is 34135533109. The next prime is 34135533193. The reversal of 34135533153 is 35133553143.

34135533153 is a `hidden beast` number, since 3 + 41 + 35 + 533 + 1 + 53 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31121193744 + 3014339409 = 176412^2 + 54903^2 .

It is not a de Polignac number, because 34135533153 - 213 = 34135524961 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34135533193) 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 5 ways as a sum of consecutive naturals, for example, 1896418500 + ... + 1896418517.

It is an arithmetic number, because the mean of its divisors is an integer number (8217813539).

Almost surely, 234135533153 is an apocalyptic number.

It is an amenable number.

34135533153 is a deficient number, since it is larger than the sum of its proper divisors (15171348081).

34135533153 is a wasteful number, since it uses less digits than its factorization.

34135533153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792837023 (or 3792837020 counting only the distinct ones).

The product of its digits is 121500, while the sum is 36.

The spelling of 34135533153 in words is "thirty-four billion, one hundred thirty-five million, five hundred thirty-three thousand, one hundred fifty-three".

Divisors: 1 3 9 3792837017 11378511051 34135533153