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33149933131 = 715186336341
BaseRepresentation
bin11110110111111000…
…111101011001001011
310011120021110002022011
4132313320331121023
51020342340330011
623121234040351
72252325532240
oct366770753113
9104507402264
1033149933131
1113071300457
126511a190b7
133183b53c63
14186691d5c7
15ce0437621
hex7b7e3d64b

33149933131 has 16 divisors (see below), whose sum is σ = 38181777408. Its totient is φ = 28192572000.

The previous prime is 33149933119. The next prime is 33149933183. The reversal of 33149933131 is 13133994133.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 33149933131 - 221 = 33147835979 is a prime.

It is a super-2 number, since 2×331499331312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33149993131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 894021 + ... + 930361.

It is an arithmetic number, because the mean of its divisors is an integer number (2386361088).

Almost surely, 233149933131 is an apocalyptic number.

33149933131 is a deficient number, since it is larger than the sum of its proper divisors (5031844277).

33149933131 is a wasteful number, since it uses less digits than its factorization.

33149933131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37362.

The product of its digits is 78732, while the sum is 40.

The spelling of 33149933131 in words is "thirty-three billion, one hundred forty-nine million, nine hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 7 151 863 1057 6041 36341 130313 254387 912191 5487491 31362283 38412437 219535981 4735704733 33149933131