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33998116431 = 3196111386531
BaseRepresentation
bin11111101010011100…
…100001011001001111
310020202101110021001110
4133222130201121033
51024112004211211
623341333343103
72312335135656
oct375234413117
9106671407043
1033998116431
1113467061094
126709a97a93
13328a7a7376
14190742c19d
15d3eb2aea6
hex7ea72164f

33998116431 has 32 divisors (see below), whose sum is σ = 48928654080. Its totient is φ = 20933337600.

The previous prime is 33998116429. The next prime is 33998116457. The reversal of 33998116431 is 13461189933.

It is not a de Polignac number, because 33998116431 - 21 = 33998116429 is a prime.

It is a super-2 number, since 2×339981164312 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33998116231) 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, 349636 + ... + 436166.

It is an arithmetic number, because the mean of its divisors is an integer number (1529020440).

Almost surely, 233998116431 is an apocalyptic number.

33998116431 is a deficient number, since it is larger than the sum of its proper divisors (14930537649).

33998116431 is a wasteful number, since it uses less digits than its factorization.

33998116431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86727.

The product of its digits is 419904, while the sum is 48.

The spelling of 33998116431 in words is "thirty-three billion, nine hundred ninety-eight million, one hundred sixteen thousand, four hundred thirty-one".

Divisors: 1 3 19 57 61 113 183 339 1159 2147 3477 6441 6893 20679 86531 130967 259593 392901 1644089 4932267 5278391 9778003 15835173 29334009 100289429 185782057 300868287 557346171 596458183 1789374549 11332705477 33998116431