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67729700031 = 3713965335533
BaseRepresentation
bin111111000101000000…
…010011010010111111
320110211012101020210120
4333011000103102333
52102202300400111
651040430310023
74615255644210
oct770500232277
9213735336716
1067729700031
11267a6717104
1211162658313
136504ca0aa6
1433c72b9407
151b66159406
hexfc50134bf

67729700031 has 32 divisors (see below), whose sum is σ = 104111777280. Its totient is φ = 38364326784.

The previous prime is 67729699979. The next prime is 67729700033. The reversal of 67729700031 is 13000792776.

It is not a de Polignac number, because 67729700031 - 219 = 67729175743 is a prime.

It is a super-2 number, since 2×677297000312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67729700033) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1888341 + ... + 1923873.

It is an arithmetic number, because the mean of its divisors is an integer number (3253493040).

Almost surely, 267729700031 is an apocalyptic number.

67729700031 is a deficient number, since it is larger than the sum of its proper divisors (36382077249).

67729700031 is a wasteful number, since it uses less digits than its factorization.

67729700031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36335.

The product of its (nonzero) digits is 111132, while the sum is 42.

The spelling of 67729700031 in words is "sixty-seven billion, seven hundred twenty-nine million, seven hundred thousand, thirty-one".

Divisors: 1 3 7 21 139 417 653 973 1959 2919 4571 13713 35533 90767 106599 248731 272301 635369 746193 1906107 4939087 14817261 23203049 34573609 69609147 103720827 162421343 487264029 3225223811 9675671433 22576566677 67729700031