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67114607744 = 271969139937
BaseRepresentation
bin111110100000010101…
…111010010010000000
320102020022222022210202
4332200111322102000
52044422314421434
650455414544332
74564106516222
oct764025722200
9212208868722
1067114607744
11265104a0178
12110106680a8
13643771c862
143369724412
151b2c159a7e
hexfa057a480

67114607744 has 64 divisors (see below), whose sum is σ = 140949189600. Its totient is φ = 31744327680.

The previous prime is 67114607723. The next prime is 67114607759. The reversal of 67114607744 is 44770641176.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1660544 + ... + 1700480.

Almost surely, 267114607744 is an apocalyptic number.

67114607744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67114607744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70474594800).

67114607744 is an abundant number, since it is smaller than the sum of its proper divisors (73834581856).

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

67114607744 is a wasteful number, since it uses less digits than its factorization.

67114607744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40661 (or 40649 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 47.

The spelling of 67114607744 in words is "sixty-seven billion, one hundred fourteen million, six hundred seven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 691 1216 1382 2432 2764 5528 11056 13129 22112 26258 39937 44224 52516 79874 88448 105032 159748 210064 319496 420128 638992 758803 840256 1277984 1517606 1680512 2555968 3035212 5111936 6070424 12140848 24281696 27596467 48563392 55192934 97126784 110385868 220771736 441543472 524332873 883086944 1048665746 1766173888 2097331492 3532347776 4194662984 8389325968 16778651936 33557303872 67114607744