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67141010457 = 33311093731973
BaseRepresentation
bin111110100001111010…
…101000010000011001
320102022011122201112000
4332201322220100121
52100001044313312
650502200511213
74564550113113
oct764172502031
9212264581460
1067141010457
11265243939a4
121101947b509
136440035371
14336d0383b3
151b2e622adc
hexfa1ea8419

67141010457 has 64 divisors (see below), whose sum is σ = 103949260800. Its totient is φ = 42782618880.

The previous prime is 67141010423. The next prime is 67141010459. The reversal of 67141010457 is 75401014176.

67141010457 is a `hidden beast` number, since 67 + 141 + 0 + 1 + 0 + 457 = 666.

It is not a de Polignac number, because 67141010457 - 210 = 67141009433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (67141010459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34028923 + ... + 34030895.

It is an arithmetic number, because the mean of its divisors is an integer number (1624207200).

Almost surely, 267141010457 is an apocalyptic number.

It is an amenable number.

67141010457 is a deficient number, since it is larger than the sum of its proper divisors (36808250343).

67141010457 is a wasteful number, since it uses less digits than its factorization.

67141010457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 67141010457 in words is "sixty-seven billion, one hundred forty-one million, ten thousand, four hundred fifty-seven".

Divisors: 1 3 9 27 31 93 109 279 327 373 837 981 1119 1973 2943 3357 3379 5919 10071 10137 11563 17757 30411 34689 40657 53271 61163 91233 104067 121971 183489 215057 312201 365913 550467 645171 735929 1097739 1260367 1651401 1935513 2207787 3781101 5806539 6623361 6666767 11343303 19870083 20000301 22813799 34029909 60000903 68441397 80216261 180002709 205324191 240648783 615972573 721946349 2165839047 2486704091 7460112273 22380336819 67141010457