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34145351877 = 3713196582871
BaseRepresentation
bin11111110011001110…
…001011100011000101
310021010122111121010010
4133303032023203011
51024412202230002
623404113220433
72316103462560
oct376316134305
9107118447103
1034145351877
111353218527a
12674b261719
1332b2148b30
14191cbd74d7
15d4ca1146c
hex7f338b8c5

34145351877 has 32 divisors (see below), whose sum is σ = 58982533120. Its totient is φ = 17062799040.

The previous prime is 34145351861. The next prime is 34145351899. The reversal of 34145351877 is 77815354143.

It is not a de Polignac number, because 34145351877 - 24 = 34145351861 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34145351827) 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, 3286249 + ... + 3296622.

It is an arithmetic number, because the mean of its divisors is an integer number (1843204160).

Almost surely, 234145351877 is an apocalyptic number.

It is an amenable number.

34145351877 is a deficient number, since it is larger than the sum of its proper divisors (24837181243).

34145351877 is a wasteful number, since it uses less digits than its factorization.

34145351877 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6582913.

The product of its digits is 1411200, while the sum is 48.

The spelling of 34145351877 in words is "thirty-four billion, one hundred forty-five million, three hundred fifty-one thousand, eight hundred seventy-seven".

Divisors: 1 3 7 13 19 21 39 57 91 133 247 273 399 741 1729 5187 6582871 19748613 46080097 85577323 125074549 138240291 256731969 375223647 599041261 875521843 1625969137 1797123783 2626565529 4877907411 11381783959 34145351877