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34055062464 = 263619286543
BaseRepresentation
bin11111101101110101…
…110000001111000000
310020220100121102022210
4133231311300033000
51024221043444324
623351130102120
72313626153253
oct375565601700
9106810542283
1034055062464
1113496216525
126724b7a940
133299525247
141910c1309a
15d44b28d29
hex7edd703c0

34055062464 has 56 divisors (see below), whose sum is σ = 90249898240. Its totient is φ = 11333309184.

The previous prime is 34055062463. The next prime is 34055062469. The reversal of 34055062464 is 46426055043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34055062463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24424 + ... + 262119.

Almost surely, 234055062464 is an apocalyptic number.

It is an amenable number.

34055062464 is an abundant number, since it is smaller than the sum of its proper divisors (56194835776).

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

34055062464 is a wasteful number, since it uses less digits than its factorization.

34055062464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287177 (or 287167 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 34055062464 in words is "thirty-four billion, fifty-five million, sixty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 619 1238 1857 2476 3714 4952 7428 9904 14856 19808 29712 39616 59424 118848 286543 573086 859629 1146172 1719258 2292344 3438516 4584688 6877032 9169376 13754064 18338752 27508128 55016256 177370117 354740234 532110351 709480468 1064220702 1418960936 2128441404 2837921872 4256882808 5675843744 8513765616 11351687488 17027531232 34055062464