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33000004017 = 342914048533
BaseRepresentation
bin11110101110111101…
…000001100110110001
310011011211022220020000
4132232331001212301
51020041000112032
623054320340213
72245525256151
oct365675014661
9104154286200
1033000004017
1112aa47074a2
12648b774669
13315ba7b3c6
141850a52761
15cd21bde7c
hex7aef419b1

33000004017 has 20 divisors (see below), whose sum is σ = 50996178420. Its totient is φ = 21241380384.

The previous prime is 33000004007. The next prime is 33000004073. The reversal of 33000004017 is 71040000033.

It can be written as a sum of positive squares in 2 ways, for example, as 7677965376 + 25322038641 = 87624^2 + 159129^2 .

It is not a de Polignac number, because 33000004017 - 232 = 28705036721 is a prime.

It is a super-2 number, since 2×330000040172 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33000004007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7021918 + ... + 7026615.

It is an arithmetic number, because the mean of its divisors is an integer number (2549808921).

Almost surely, 233000004017 is an apocalyptic number.

It is an amenable number.

33000004017 is a deficient number, since it is larger than the sum of its proper divisors (17996174403).

33000004017 is a wasteful number, since it uses less digits than its factorization.

33000004017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14048574 (or 14048565 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The spelling of 33000004017 in words is "thirty-three billion, four thousand, seventeen".

Divisors: 1 3 9 27 29 81 87 261 783 2349 14048533 42145599 126436797 379310391 407407457 1137931173 1222222371 3666667113 11000001339 33000004017