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67340000672 = 257242946429
BaseRepresentation
bin111110101101110001…
…101101110110100000
320102211001002110202222
4332231301231312200
52100403020010142
650534025530212
74602514363400
oct765561556640
9212731073688
1067340000672
112661674721a
1211074043968
136472327b59
14338b636800
151b41d2cbd2
hexfadc6dda0

67340000672 has 36 divisors (see below), whose sum is σ = 154220630130. Its totient is φ = 28859999616.

The previous prime is 67340000633. The next prime is 67340000683. The reversal of 67340000672 is 27600004376.

It can be written as a sum of positive squares in only one way, i.e., 40113680656 + 27226320016 = 200284^2 + 165004^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21471647 + ... + 21474782.

Almost surely, 267340000672 is an apocalyptic number.

It is an amenable number.

67340000672 is an abundant number, since it is smaller than the sum of its proper divisors (86880629458).

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

67340000672 is a wasteful number, since it uses less digits than its factorization.

67340000672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42946453 (or 42946438 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The spelling of 67340000672 in words is "sixty-seven billion, three hundred forty million, six hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 42946429 85892858 171785716 300625003 343571432 601250006 687142864 1202500012 1374285728 2104375021 2405000024 4208750042 4810000048 8417500084 9620000096 16835000168 33670000336 67340000672