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67006673674038 = 23371171151380301
BaseRepresentation
bin11110011110001001101001…
…11110110101111100110110
322210020202221022001021002000
433033010310332311330312
532240314131430032123
6354302235124000130
720054033560461360
oct1717046476657466
9283222838037060
1067006673674038
111a39440947953a
127622413530046
132b509189c5367
1412791d7021d30
157b2ee610bb43
hex3cf134fb5f36

67006673674038 has 64 divisors (see below), whose sum is σ = 170321005386240. Its totient is φ = 19128414708000.

The previous prime is 67006673674037. The next prime is 67006673674141. The reversal of 67006673674038 is 83047637660076.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67006673674037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75247513 + ... + 76132788.

It is an arithmetic number, because the mean of its divisors is an integer number (2661265709160).

Almost surely, 267006673674038 is an apocalyptic number.

67006673674038 is an abundant number, since it is smaller than the sum of its proper divisors (103314331712202).

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

67006673674038 is a wasteful number, since it uses less digits than its factorization.

67006673674038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151381490 (or 151381484 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 63.

The spelling of 67006673674038 in words is "sixty-seven trillion, six billion, six hundred seventy-three million, six hundred seventy-four thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1171 2342 3513 7026 8197 10539 16394 21078 24591 31617 49182 63234 73773 147546 221319 442638 151380301 302760602 454140903 908281806 1059662107 1362422709 2119324214 2724845418 3178986321 4087268127 6357972642 8174536254 9536958963 19073917926 28610876889 57221753778 177266332471 354532664942 531798997413 1063597994826 1240864327297 1595396992239 2481728654594 3190793984478 3722592981891 4786190976717 7445185963782 9572381953434 11167778945673 22335557891346 33503336837019 67006673674038