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67142202171 = 31147149928879
BaseRepresentation
bin111110100001111111…
…001011001100111011
320102022020220021020120
4332201333023030323
52100001400432141
650502242224323
74564563205362
oct764177131473
9212266807216
1067142202171
1126525028290
12110199550a3
136440361915
14336d2687d9
151b2e7aac66
hexfa1fcb33b

67142202171 has 32 divisors (see below), whose sum is σ = 99809280000. Its totient is φ = 39798504480.

The previous prime is 67142202161. The next prime is 67142202217. The reversal of 67142202171 is 17120224176.

It is not a de Polignac number, because 67142202171 - 235 = 32782463803 is a prime.

It is a super-2 number, since 2×671422021712 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (67142202161) 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 31 ways as a sum of consecutive naturals, for example, 2310510 + ... + 2339388.

It is an arithmetic number, because the mean of its divisors is an integer number (3119040000).

Almost surely, 267142202171 is an apocalyptic number.

67142202171 is a deficient number, since it is larger than the sum of its proper divisors (32667077829).

67142202171 is a wasteful number, since it uses less digits than its factorization.

67142202171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30439.

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 67142202171 in words is "sixty-seven billion, one hundred forty-two million, two hundred two thousand, one hundred seventy-one".

Divisors: 1 3 11 33 47 141 517 1499 1551 4497 16489 28879 49467 70453 86637 211359 317669 774983 953007 1357313 2324949 4071939 14930443 43289621 44791329 129868863 476185831 1428557493 2034612187 6103836561 22380734057 67142202171