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67008140034 = 23114323611043
BaseRepresentation
bin111110011001111111…
…110001001100000010
320101221220122012120020
4332121333301030002
52044213040440114
650441052554310
74561344535563
oct763177611402
9211856565506
1067008140034
1126466391430
1210ba0a82996
13641b653204
14335952c16a
151b22b28aa9
hexf99ff1302

67008140034 has 32 divisors (see below), whose sum is σ = 149599574784. Its totient is φ = 19833275280.

The previous prime is 67008140027. The next prime is 67008140099. The reversal of 67008140034 is 43004180076.

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

It is a junction number, because it is equal to n+sod(n) for n = 67008139977 and 67008140004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11802684 + ... + 11808359.

It is an arithmetic number, because the mean of its divisors is an integer number (4674986712).

Almost surely, 267008140034 is an apocalyptic number.

67008140034 is an abundant number, since it is smaller than the sum of its proper divisors (82591434750).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67008140034 is a wasteful number, since it uses less digits than its factorization.

67008140034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23611102.

The product of its (nonzero) digits is 16128, while the sum is 33.

Multiplying 67008140034 by its sum of digits (33), we get a palindrome (2211268621122).

The spelling of 67008140034 in words is "sixty-seven billion, eight million, one hundred forty thousand, thirty-four".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 473 946 1419 2838 23611043 47222086 70833129 141666258 259721473 519442946 779164419 1015274849 1558328838 2030549698 3045824547 6091649094 11168023339 22336046678 33504070017 67008140034