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67429704010680 = 233351123116644871
BaseRepresentation
bin11110101010011101100111…
…00011100000101110111000
322211202012212000020221201000
433111032303203200232320
532314232013211320210
6355224440044125000
720126430632142114
oct1725166343405670
9284665760227630
1067429704010680
111a537860030700
1276903b3536760
132b81794784b1b
141291887b2c744
157be004808ac0
hex3d53b38e0bb8

67429704010680 has 384 divisors, whose sum is σ = 255026070835200. Its totient is φ = 15819284448000.

The previous prime is 67429704010679. The next prime is 67429704010681. The reversal of 67429704010680 is 8601040792476.

67429704010680 is a `hidden beast` number, since 6 + 7 + 429 + 70 + 40 + 106 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (67429704010679) and next prime (67429704010681).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67429704010681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4271356 + ... + 12373515.

It is an arithmetic number, because the mean of its divisors is an integer number (664130392800).

Almost surely, 267429704010680 is an apocalyptic number.

67429704010680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67429704010680 is an abundant number, since it is smaller than the sum of its proper divisors (187596366824520).

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

67429704010680 is a wasteful number, since it uses less digits than its factorization.

67429704010680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16644944 (or 16644923 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 67429704010680 in words is "sixty-seven trillion, four hundred twenty-nine billion, seven hundred four million, ten thousand, six hundred eighty".