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67960839864 = 23343117156237
BaseRepresentation
bin111111010010110010…
…000001111010111000
320111102022022101001010
4333102302001322320
52103140433333424
651115404353520
74624063415241
oct772262017270
9214368271033
1067960839864
1126905138965
1211207b458a0
136540b3bb18
143409c85cc8
151b7b5b5229
hexfd2c81eb8

67960839864 has 64 divisors (see below), whose sum is σ = 174004871040. Its totient is φ = 22107496320.

The previous prime is 67960839851. The next prime is 67960839913. The reversal of 67960839864 is 46893806976.

It is a junction number, because it is equal to n+sod(n) for n = 67960839795 and 67960839804.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1180354 + ... + 1236590.

It is an arithmetic number, because the mean of its divisors is an integer number (2718826110).

Almost surely, 267960839864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67960839864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87002435520).

67960839864 is an abundant number, since it is smaller than the sum of its proper divisors (106044031176).

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

67960839864 is a wasteful number, since it uses less digits than its factorization.

67960839864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57460 (or 57456 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 66.

The spelling of 67960839864 in words is "sixty-seven billion, nine hundred sixty million, eight hundred thirty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 1171 2342 3513 4684 7026 9368 14052 28104 50353 56237 100706 112474 151059 168711 201412 224948 302118 337422 402824 449896 604236 674844 1208472 1349688 2418191 4836382 7254573 9672764 14509146 19345528 29018292 58036584 65853527 131707054 197560581 263414108 395121162 526828216 790242324 1580484648 2831701661 5663403322 8495104983 11326806644 16990209966 22653613288 33980419932 67960839864